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116,720

116,720 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.).

116,720 (one hundred sixteen thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,459. Its proper divisors sum to 154,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C7F0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
27,611
Square (n²)
13,623,558,400
Cube (n³)
1,590,141,736,448,000
Divisor count
20
σ(n) — sum of divisors
271,560
φ(n) — Euler's totient
46,656
Sum of prime factors
1,472

Primality

Prime factorization: 2 4 × 5 × 1459

Nearest primes: 116,719 (−1) · 116,731 (+11)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 1459 · 2918 · 5836 · 7295 · 11672 · 14590 · 23344 · 29180 · 58360 (half) · 116720
Aliquot sum (sum of proper divisors): 154,840
Factor pairs (a × b = 116,720)
1 × 116720
2 × 58360
4 × 29180
5 × 23344
8 × 14590
10 × 11672
16 × 7295
20 × 5836
40 × 2918
80 × 1459
First multiples
116,720 · 233,440 (double) · 350,160 · 466,880 · 583,600 · 700,320 · 817,040 · 933,760 · 1,050,480 · 1,167,200

Sums & aliquot sequence

As consecutive integers: 23,342 + 23,343 + 23,344 + 23,345 + 23,346 3,632 + 3,633 + … + 3,663 650 + 651 + … + 809
Aliquot sequence: 116,720 154,840 255,560 319,540 403,700 554,572 467,148 722,292 1,037,004 1,409,076 2,275,374 2,327,586 2,371,614 3,049,314 3,067,806 3,944,418 3,944,430 — unresolved within range

Continued fraction of √n

√116,720 = [341; (1, 1, 1, 4, 21, 1, 4, 1, 3, 1, 2, 3, 1, 7, 1, 3, 2, 1, 3, 1, 4, 1, 21, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred sixteen thousand seven hundred twenty
Ordinal
116720th
Binary
11100011111110000
Octal
343760
Hexadecimal
0x1C7F0
Base64
Acfw
One's complement
4,294,850,575 (32-bit)
Scientific notation
1.1672 × 10⁵
As a duration
116,720 s = 1 day, 8 hours, 25 minutes, 20 seconds
In other bases
ternary (3) 12221002222
quaternary (4) 130133300
quinary (5) 12213340
senary (6) 2300212
septenary (7) 664202
nonary (9) 187088
undecimal (11) 7a76a
duodecimal (12) 57668
tridecimal (13) 41186
tetradecimal (14) 30772
pentadecimal (15) 248b5

As an angle

116,720° = 324 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριϛψκʹ
Mayan (base 20)
𝋮·𝋫·𝋰·𝋠
Chinese
一十一萬六千七百二十
Chinese (financial)
壹拾壹萬陸仟柒佰貳拾
In other modern scripts
Eastern Arabic ١١٦٧٢٠ Devanagari ११६७२० Bengali ১১৬৭২০ Tamil ௧௧௬௭௨௦ Thai ๑๑๖๗๒๐ Tibetan ༡༡༦༧༢༠ Khmer ១១៦៧២០ Lao ໑໑໖໗໒໐ Burmese ၁၁၆၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116720, here are decompositions:

  • 13 + 116707 = 116720
  • 31 + 116689 = 116720
  • 127 + 116593 = 116720
  • 181 + 116539 = 116720
  • 229 + 116491 = 116720
  • 277 + 116443 = 116720
  • 283 + 116437 = 116720
  • 349 + 116371 = 116720

Showing the first eight; more decompositions exist.

Hex color
#01C7F0
RGB(1, 199, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.199.240.

Address
0.1.199.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.199.240

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 116,720 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 116720 first appears in π at position 148,486 of the decimal expansion (the 148,486ordinal-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.