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1,015,728

1,015,728 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.).

1,015,728 (one million fifteen thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 3,023. Its proper divisors sum to 1,984,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7FB0.

Abundant Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
8,275,101
Square (n²)
1,031,703,369,984
Cube (n³)
1,047,930,000,587,108,352
Divisor count
40
σ(n) — sum of divisors
2,999,808
φ(n) — Euler's totient
290,112
Sum of prime factors
3,041

Primality

Prime factorization: 2 4 × 3 × 7 × 3023

Nearest primes: 1,015,727 (−1) · 1,015,739 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 56 · 84 · 112 · 168 · 336 · 3023 · 6046 · 9069 · 12092 · 18138 · 21161 · 24184 · 36276 · 42322 · 48368 · 63483 · 72552 · 84644 · 126966 · 145104 · 169288 · 253932 · 338576 · 507864 (half) · 1015728
Aliquot sum (sum of proper divisors): 1,984,080
Factor pairs (a × b = 1,015,728)
1 × 1015728
2 × 507864
3 × 338576
4 × 253932
6 × 169288
7 × 145104
8 × 126966
12 × 84644
14 × 72552
16 × 63483
21 × 48368
24 × 42322
28 × 36276
42 × 24184
48 × 21161
56 × 18138
84 × 12092
112 × 9069
168 × 6046
336 × 3023
First multiples
1,015,728 · 2,031,456 (double) · 3,047,184 · 4,062,912 · 5,078,640 · 6,094,368 · 7,110,096 · 8,125,824 · 9,141,552 · 10,157,280

Sums & aliquot sequence

As consecutive integers: 338,575 + 338,576 + 338,577 145,101 + 145,102 + … + 145,107 48,358 + 48,359 + … + 48,378 31,726 + 31,727 + … + 31,757
Aliquot sequence: 1,015,728 1,984,080 5,051,184 8,281,296 15,124,944 23,947,952 29,079,904 36,915,872 47,050,528 62,478,752 81,548,320 151,638,368 209,626,816 271,875,904 267,627,970 214,102,394 136,247,014 — unresolved within range

Continued fraction of √n

√1,015,728 = [1007; (1, 4, 1, 2014)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million fifteen thousand seven hundred twenty-eight
Ordinal
1015728th
Binary
11110111111110110000
Octal
3677660
Hexadecimal
0xF7FB0
Base64
D3+w
One's complement
4,293,951,567 (32-bit)
Scientific notation
1.015728 × 10⁶
As a duration
1,015,728 s = 11 days, 18 hours, 8 minutes, 48 seconds
In other bases
ternary (3) 1220121022120
quaternary (4) 3313332300
quinary (5) 230000403
senary (6) 33434240
septenary (7) 11430210
nonary (9) 1817276
undecimal (11) 63414a
duodecimal (12) 40b980
tridecimal (13) 29742c
tetradecimal (14) 1c6240
pentadecimal (15) 150e53

As an angle

1,015,728° = 2,821 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬五千七百二十八
Chinese (financial)
壹佰零壹萬伍仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٠١٥٧٢٨ Devanagari १०१५७२८ Bengali ১০১৫৭২৮ Tamil ௧௦௧௫௭௨௮ Thai ๑๐๑๕๗๒๘ Tibetan ༡༠༡༥༧༢༨ Khmer ១០១៥៧២៨ Lao ໑໐໑໕໗໒໘ Burmese ၁၀၁၅၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1015728, here are decompositions:

  • 5 + 1015723 = 1015728
  • 19 + 1015709 = 1015728
  • 31 + 1015697 = 1015728
  • 37 + 1015691 = 1015728
  • 67 + 1015661 = 1015728
  • 101 + 1015627 = 1015728
  • 127 + 1015601 = 1015728
  • 157 + 1015571 = 1015728

Showing the first eight; more decompositions exist.

Hex color
#0F7FB0
RGB(15, 127, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.127.176.

Address
0.15.127.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.127.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 5728 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 5728-10-01 (MMDYYYY (US, single-digit day))
  • 5728-01-10 (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 1,015,728 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°.