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116,120

116,120 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.).

116,120 (one hundred sixteen thousand one hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,903. Its proper divisors sum to 145,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C598.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
21,611
Square (n²)
13,483,854,400
Cube (n³)
1,565,745,172,928,000
Divisor count
16
σ(n) — sum of divisors
261,360
φ(n) — Euler's totient
46,432
Sum of prime factors
2,914

Primality

Prime factorization: 2 3 × 5 × 2903

Nearest primes: 116,113 (−7) · 116,131 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 2903 · 5806 · 11612 · 14515 · 23224 · 29030 · 58060 (half) · 116120
Aliquot sum (sum of proper divisors): 145,240
Factor pairs (a × b = 116,120)
1 × 116120
2 × 58060
4 × 29030
5 × 23224
8 × 14515
10 × 11612
20 × 5806
40 × 2903
First multiples
116,120 · 232,240 (double) · 348,360 · 464,480 · 580,600 · 696,720 · 812,840 · 928,960 · 1,045,080 · 1,161,200

Sums & aliquot sequence

As consecutive integers: 23,222 + 23,223 + 23,224 + 23,225 + 23,226 7,250 + 7,251 + … + 7,265 1,412 + 1,413 + … + 1,491
Aliquot sequence: 116,120 145,240 181,640 250,360 365,240 494,440 646,040 857,320 1,071,740 1,235,572 1,093,104 1,966,472 1,735,828 1,311,104 1,301,116 987,044 840,796 — unresolved within range

Continued fraction of √n

√116,120 = [340; (1, 3, 4, 3, 1, 3, 1, 14, 1, 2, 3, 11, 1, 6, 1, 2, 1, 4, 1, 8, 7, 16, 2, 13, …)]

Representations

In words
one hundred sixteen thousand one hundred twenty
Ordinal
116120th
Binary
11100010110011000
Octal
342630
Hexadecimal
0x1C598
Base64
AcWY
One's complement
4,294,851,175 (32-bit)
Scientific notation
1.1612 × 10⁵
As a duration
116,120 s = 1 day, 8 hours, 15 minutes, 20 seconds
In other bases
ternary (3) 12220021202
quaternary (4) 130112120
quinary (5) 12203440
senary (6) 2253332
septenary (7) 662354
nonary (9) 186252
undecimal (11) 7a274
duodecimal (12) 57248
tridecimal (13) 40b14
tetradecimal (14) 30464
pentadecimal (15) 24615

As an angle

116,120° = 322 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ριϛρκʹ
Mayan (base 20)
𝋮·𝋪·𝋦·𝋠
Chinese
一十一萬六千一百二十
Chinese (financial)
壹拾壹萬陸仟壹佰貳拾
In other modern scripts
Eastern Arabic ١١٦١٢٠ Devanagari ११६१२० Bengali ১১৬১২০ Tamil ௧௧௬௧௨௦ Thai ๑๑๖๑๒๐ Tibetan ༡༡༦༡༢༠ Khmer ១១៦១២០ Lao ໑໑໖໑໒໐ Burmese ၁၁၆၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116120, here are decompositions:

  • 7 + 116113 = 116120
  • 13 + 116107 = 116120
  • 19 + 116101 = 116120
  • 31 + 116089 = 116120
  • 73 + 116047 = 116120
  • 79 + 116041 = 116120
  • 139 + 115981 = 116120
  • 157 + 115963 = 116120

Showing the first eight; more decompositions exist.

Hex color
#01C598
RGB(1, 197, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.152.

Address
0.1.197.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.197.152

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

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 116,120 and was likely granted around 1871.

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

Position in π

The digit sequence 116120 first appears in π at position 584,420 of the decimal expansion (the 584,420ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.