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1,016,120

1,016,120 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.).

1,016,120 (one million sixteen thousand one hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 19 × 191. Its proper divisors sum to 1,748,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8138.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
216,101
Square (n²)
1,032,499,854,400
Cube (n³)
1,049,143,752,052,928,000
Divisor count
64
σ(n) — sum of divisors
2,764,800
φ(n) — Euler's totient
328,320
Sum of prime factors
228

Primality

Prime factorization: 2 3 × 5 × 7 × 19 × 191

Nearest primes: 1,016,111 (−9) · 1,016,123 (+3)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 19 · 20 · 28 · 35 · 38 · 40 · 56 · 70 · 76 · 95 · 133 · 140 · 152 · 190 · 191 · 266 · 280 · 380 · 382 · 532 · 665 · 760 · 764 · 955 · 1064 · 1330 · 1337 · 1528 · 1910 · 2660 · 2674 · 3629 · 3820 · 5320 · 5348 · 6685 · 7258 · 7640 · 10696 · 13370 · 14516 · 18145 · 25403 · 26740 · 29032 · 36290 · 50806 · 53480 · 72580 · 101612 · 127015 · 145160 · 203224 · 254030 · 508060 (half) · 1016120
Aliquot sum (sum of proper divisors): 1,748,680
Factor pairs (a × b = 1,016,120)
1 × 1016120
2 × 508060
4 × 254030
5 × 203224
7 × 145160
8 × 127015
10 × 101612
14 × 72580
19 × 53480
20 × 50806
28 × 36290
35 × 29032
38 × 26740
40 × 25403
56 × 18145
70 × 14516
76 × 13370
95 × 10696
133 × 7640
140 × 7258
152 × 6685
190 × 5348
191 × 5320
266 × 3820
280 × 3629
380 × 2674
382 × 2660
532 × 1910
665 × 1528
760 × 1337
764 × 1330
955 × 1064
First multiples
1,016,120 · 2,032,240 (double) · 3,048,360 · 4,064,480 · 5,080,600 · 6,096,720 · 7,112,840 · 8,128,960 · 9,145,080 · 10,161,200

Sums & aliquot sequence

As consecutive integers: 203,222 + 203,223 + 203,224 + 203,225 + 203,226 145,157 + 145,158 + … + 145,163 63,500 + 63,501 + … + 63,515 53,471 + 53,472 + … + 53,489
Aliquot sequence: 1,016,120 1,748,680 2,185,940 2,404,576 2,368,808 2,414,572 1,914,284 1,435,720 2,374,520 3,457,480 5,135,720 6,419,740 7,137,860 7,851,688 8,939,072 8,914,588 7,049,052 — unresolved within range

Continued fraction of √n

√1,016,120 = [1008; (36, 2016)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one million sixteen thousand one hundred twenty
Ordinal
1016120th
Binary
11111000000100111000
Octal
3700470
Hexadecimal
0xF8138
Base64
D4E4
One's complement
4,293,951,175 (32-bit)
Scientific notation
1.01612 × 10⁶
As a duration
1,016,120 s = 11 days, 18 hours, 15 minutes, 20 seconds
In other bases
ternary (3) 1220121212002
quaternary (4) 3320010320
quinary (5) 230003440
senary (6) 33440132
septenary (7) 11431310
nonary (9) 1817762
undecimal (11) 634476
duodecimal (12) 410048
tridecimal (13) 297671
tetradecimal (14) 1c6440
pentadecimal (15) 151115

As an angle

1,016,120° = 2,822 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Chinese
一百零一萬六千一百二十
Chinese (financial)
壹佰零壹萬陸仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٠١٦١٢٠ Devanagari १०१६१२० Bengali ১০১৬১২০ Tamil ௧௦௧௬௧௨௦ Thai ๑๐๑๖๑๒๐ Tibetan ༡༠༡༦༡༢༠ Khmer ១០១៦១២០ Lao ໑໐໑໖໑໒໐ Burmese ၁၀၁၆၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016120, here are decompositions:

  • 31 + 1016089 = 1016120
  • 37 + 1016083 = 1016120
  • 67 + 1016053 = 1016120
  • 97 + 1016023 = 1016120
  • 109 + 1016011 = 1016120
  • 139 + 1015981 = 1016120
  • 223 + 1015897 = 1016120
  • 229 + 1015891 = 1016120

Showing the first eight; more decompositions exist.

Hex color
#0F8138
RGB(15, 129, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.56.

Address
0.15.129.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.129.56

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 6120 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 6120-10-01 (MMDYYYY (US, single-digit day))
  • 6120-01-10 (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 1,016,120 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°.