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1,015,872

1,015,872 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,015,872 (one million fifteen thousand eight hundred seventy-two) is an even 7-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 11 × 13 × 37. Its proper divisors sum to 2,227,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8040.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
2,785,101
Square (n²)
1,031,995,920,384
Cube (n³)
1,048,375,759,632,334,848
Divisor count
112
σ(n) — sum of divisors
3,243,072
φ(n) — Euler's totient
276,480
Sum of prime factors
76

Primality

Prime factorization: 2 6 × 3 × 11 × 13 × 37

Nearest primes: 1,015,871 (−1) · 1,015,877 (+5)

Divisors & multiples

All divisors (112)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 13 · 16 · 22 · 24 · 26 · 32 · 33 · 37 · 39 · 44 · 48 · 52 · 64 · 66 · 74 · 78 · 88 · 96 · 104 · 111 · 132 · 143 · 148 · 156 · 176 · 192 · 208 · 222 · 264 · 286 · 296 · 312 · 352 · 407 · 416 · 429 · 444 · 481 · 528 · 572 · 592 · 624 · 704 · 814 · 832 · 858 · 888 · 962 · 1056 · 1144 · 1184 · 1221 · 1248 · 1443 · 1628 · 1716 · 1776 · 1924 · 2112 · 2288 · 2368 · 2442 · 2496 · 2886 · 3256 · 3432 · 3552 · 3848 · 4576 · 4884 · 5291 · 5772 · 6512 · 6864 · 7104 · 7696 · 9152 · 9768 · 10582 · 11544 · 13024 · 13728 · 15392 · 15873 · 19536 · 21164 · 23088 · 26048 · 27456 · 30784 · 31746 · 39072 · 42328 · 46176 · 63492 · 78144 · 84656 · 92352 · 126984 · 169312 · 253968 · 338624 · 507936 (half) · 1015872
Aliquot sum (sum of proper divisors): 2,227,200
Factor pairs (a × b = 1,015,872)
1 × 1015872
2 × 507936
3 × 338624
4 × 253968
6 × 169312
8 × 126984
11 × 92352
12 × 84656
13 × 78144
16 × 63492
22 × 46176
24 × 42328
26 × 39072
32 × 31746
33 × 30784
37 × 27456
39 × 26048
44 × 23088
48 × 21164
52 × 19536
64 × 15873
66 × 15392
74 × 13728
78 × 13024
88 × 11544
96 × 10582
104 × 9768
111 × 9152
132 × 7696
143 × 7104
148 × 6864
156 × 6512
176 × 5772
192 × 5291
208 × 4884
222 × 4576
264 × 3848
286 × 3552
296 × 3432
312 × 3256
352 × 2886
407 × 2496
416 × 2442
429 × 2368
444 × 2288
481 × 2112
528 × 1924
572 × 1776
592 × 1716
624 × 1628
704 × 1443
814 × 1248
832 × 1221
858 × 1184
888 × 1144
962 × 1056
First multiples
1,015,872 · 2,031,744 (double) · 3,047,616 · 4,063,488 · 5,079,360 · 6,095,232 · 7,111,104 · 8,126,976 · 9,142,848 · 10,158,720

Sums & aliquot sequence

As consecutive integers: 338,623 + 338,624 + 338,625 92,347 + 92,348 + … + 92,357 78,138 + 78,139 + … + 78,150 30,768 + 30,769 + … + 30,800
Aliquot sequence: 1,015,872 2,227,200 5,387,640 12,756,360 25,513,080 51,780,360 113,174,520 231,937,320 465,679,320 931,359,000 2,521,807,080 5,625,574,680 12,814,431,720 — keeps growing

Continued fraction of √n

√1,015,872 = [1007; (1, 9, 2, 503, 2, 9, 1, 2014)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one million fifteen thousand eight hundred seventy-two
Ordinal
1015872nd
Binary
11111000000001000000
Octal
3700100
Hexadecimal
0xF8040
Base64
D4BA
One's complement
4,293,951,423 (32-bit)
Scientific notation
1.015872 × 10⁶
As a duration
1,015,872 s = 11 days, 18 hours, 11 minutes, 12 seconds
In other bases
ternary (3) 1220121111220
quaternary (4) 3320001000
quinary (5) 230001442
senary (6) 33435040
septenary (7) 11430504
nonary (9) 1817456
undecimal (11) 634270
duodecimal (12) 40ba80
tridecimal (13) 297510
tetradecimal (14) 1c6304
pentadecimal (15) 150eec

As an angle

1,015,872° = 2,821 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零一萬五千八百七十二
Chinese (financial)
壹佰零壹萬伍仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٠١٥٨٧٢ Devanagari १०१५८७२ Bengali ১০১৫৮৭২ Tamil ௧௦௧௫௮௭௨ Thai ๑๐๑๕๘๗๒ Tibetan ༡༠༡༥༨༧༢ Khmer ១០១៥៨៧២ Lao ໑໐໑໕໘໗໒ Burmese ၁၀၁၅၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1015872, here are decompositions:

  • 19 + 1015853 = 1015872
  • 29 + 1015843 = 1015872
  • 43 + 1015829 = 1015872
  • 59 + 1015813 = 1015872
  • 103 + 1015769 = 1015872
  • 149 + 1015723 = 1015872
  • 163 + 1015709 = 1015872
  • 181 + 1015691 = 1015872

Showing the first eight; more decompositions exist.

Hex color
#0F8040
RGB(15, 128, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.64.

Address
0.15.128.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.128.64

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 5872 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 5872-10-01 (MMDYYYY (US, single-digit day))
  • 5872-01-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,015,872 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.