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117,240

117,240 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.).

117,240 (one hundred seventeen thousand two hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 977. Its proper divisors sum to 234,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C9F8.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
42,711
Square (n²)
13,745,217,600
Cube (n³)
1,611,489,311,424,000
Divisor count
32
σ(n) — sum of divisors
352,080
φ(n) — Euler's totient
31,232
Sum of prime factors
991

Primality

Prime factorization: 2 3 × 3 × 5 × 977

Nearest primes: 117,239 (−1) · 117,241 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 977 · 1954 · 2931 · 3908 · 4885 · 5862 · 7816 · 9770 · 11724 · 14655 · 19540 · 23448 · 29310 · 39080 · 58620 (half) · 117240
Aliquot sum (sum of proper divisors): 234,840
Factor pairs (a × b = 117,240)
1 × 117240
2 × 58620
3 × 39080
4 × 29310
5 × 23448
6 × 19540
8 × 14655
10 × 11724
12 × 9770
15 × 7816
20 × 5862
24 × 4885
30 × 3908
40 × 2931
60 × 1954
120 × 977
First multiples
117,240 · 234,480 (double) · 351,720 · 468,960 · 586,200 · 703,440 · 820,680 · 937,920 · 1,055,160 · 1,172,400

Sums & aliquot sequence

As consecutive integers: 39,079 + 39,080 + 39,081 23,446 + 23,447 + 23,448 + 23,449 + 23,450 7,809 + 7,810 + … + 7,823 7,320 + 7,321 + … + 7,335
Aliquot sequence: 117,240 234,840 513,960 1,028,280 2,600,520 5,806,200 12,194,880 26,526,912 46,722,624 86,414,016 163,217,184 298,188,768 484,557,000 1,107,017,400 2,324,738,400 5,242,292,904 8,217,650,616 — unresolved within range

Continued fraction of √n

√117,240 = [342; (2, 2, 11, 1, 4, 1, 5, 13, 1, 4, 9, 2, 3, 1, 4, 1, 44, 1, 4, 1, 3, 2, 9, 4, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand two hundred forty
Ordinal
117240th
Binary
11100100111111000
Octal
344770
Hexadecimal
0x1C9F8
Base64
Acn4
One's complement
4,294,850,055 (32-bit)
Scientific notation
1.1724 × 10⁵
As a duration
117,240 s = 1 day, 8 hours, 34 minutes
In other bases
ternary (3) 12221211020
quaternary (4) 130213320
quinary (5) 12222430
senary (6) 2302440
septenary (7) 665544
nonary (9) 187736
undecimal (11) 800a2
duodecimal (12) 57a20
tridecimal (13) 41496
tetradecimal (14) 30a24
pentadecimal (15) 24b10

As an angle

117,240° = 325 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριζσμʹ
Mayan (base 20)
𝋮·𝋭·𝋢·𝋠
Chinese
一十一萬七千二百四十
Chinese (financial)
壹拾壹萬柒仟貳佰肆拾
In other modern scripts
Eastern Arabic ١١٧٢٤٠ Devanagari ११७२४० Bengali ১১৭২৪০ Tamil ௧௧௭௨௪௦ Thai ๑๑๗๒๔๐ Tibetan ༡༡༧༢༤༠ Khmer ១១៧២៤០ Lao ໑໑໗໒໔໐ Burmese ၁၁၇၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117240, here are decompositions:

  • 17 + 117223 = 117240
  • 31 + 117209 = 117240
  • 37 + 117203 = 117240
  • 47 + 117193 = 117240
  • 73 + 117167 = 117240
  • 107 + 117133 = 117240
  • 113 + 117127 = 117240
  • 131 + 117109 = 117240

Showing the first eight; more decompositions exist.

Hex color
#01C9F8
RGB(1, 201, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.248.

Address
0.1.201.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.248

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 117,240 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 117240 first appears in π at position 210,309 of the decimal expansion (the 210,309ordinal-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

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