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111,240

111,240 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.).

111,240 (one hundred eleven thousand two hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 5 × 103. Its proper divisors sum to 263,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B288.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
42,111
Recamán's sequence
a(247,928) = 111,240
Square (n²)
12,374,337,600
Cube (n³)
1,376,521,314,624,000
Divisor count
64
σ(n) — sum of divisors
374,400
φ(n) — Euler's totient
29,376
Sum of prime factors
123

Primality

Prime factorization: 2 3 × 3 3 × 5 × 103

Nearest primes: 111,229 (−11) · 111,253 (+13)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 54 · 60 · 72 · 90 · 103 · 108 · 120 · 135 · 180 · 206 · 216 · 270 · 309 · 360 · 412 · 515 · 540 · 618 · 824 · 927 · 1030 · 1080 · 1236 · 1545 · 1854 · 2060 · 2472 · 2781 · 3090 · 3708 · 4120 · 4635 · 5562 · 6180 · 7416 · 9270 · 11124 · 12360 · 13905 · 18540 · 22248 · 27810 · 37080 · 55620 (half) · 111240
Aliquot sum (sum of proper divisors): 263,160
Factor pairs (a × b = 111,240)
1 × 111240
2 × 55620
3 × 37080
4 × 27810
5 × 22248
6 × 18540
8 × 13905
9 × 12360
10 × 11124
12 × 9270
15 × 7416
18 × 6180
20 × 5562
24 × 4635
27 × 4120
30 × 3708
36 × 3090
40 × 2781
45 × 2472
54 × 2060
60 × 1854
72 × 1545
90 × 1236
103 × 1080
108 × 1030
120 × 927
135 × 824
180 × 618
206 × 540
216 × 515
270 × 412
309 × 360
First multiples
111,240 · 222,480 (double) · 333,720 · 444,960 · 556,200 · 667,440 · 778,680 · 889,920 · 1,001,160 · 1,112,400

Sums & aliquot sequence

As consecutive integers: 37,079 + 37,080 + 37,081 22,246 + 22,247 + 22,248 + 22,249 + 22,250 12,356 + 12,357 + … + 12,364 7,409 + 7,410 + … + 7,423
Aliquot sequence: 111,240 263,160 663,480 1,629,720 3,858,840 9,179,640 21,399,480 48,150,000 121,854,744 247,874,616 500,176,584 1,019,513,016 1,741,668,264 3,798,760,536 6,740,491,824 13,994,388,524 — keeps growing

Continued fraction of √n

√111,240 = [333; (1, 1, 8, 1, 8, 1, 1, 666)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred eleven thousand two hundred forty
Ordinal
111240th
Binary
11011001010001000
Octal
331210
Hexadecimal
0x1B288
Base64
AbKI
One's complement
4,294,856,055 (32-bit)
Scientific notation
1.1124 × 10⁵
As a duration
111,240 s = 1 day, 6 hours, 54 minutes
In other bases
ternary (3) 12122121000
quaternary (4) 123022020
quinary (5) 12024430
senary (6) 2215000
septenary (7) 642213
nonary (9) 178530
undecimal (11) 76638
duodecimal (12) 54460
tridecimal (13) 3b82c
tetradecimal (14) 2c77a
pentadecimal (15) 22e60

As an angle

111,240° = 309 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριασμʹ
Mayan (base 20)
𝋭·𝋲·𝋢·𝋠
Chinese
一十一萬一千二百四十
Chinese (financial)
壹拾壹萬壹仟貳佰肆拾
In other modern scripts
Eastern Arabic ١١١٢٤٠ Devanagari १११२४० Bengali ১১১২৪০ Tamil ௧௧௧௨௪௦ Thai ๑๑๑๒๔๐ Tibetan ༡༡༡༢༤༠ Khmer ១១១២៤០ Lao ໑໑໑໒໔໐ Burmese ၁၁၁၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 111240, here are decompositions:

  • 11 + 111229 = 111240
  • 13 + 111227 = 111240
  • 23 + 111217 = 111240
  • 29 + 111211 = 111240
  • 53 + 111187 = 111240
  • 97 + 111143 = 111240
  • 113 + 111127 = 111240
  • 131 + 111109 = 111240

Showing the first eight; more decompositions exist.

Unicode codepoint
𛊈
Nushu Character-1B288
U+1B288
Other letter (Lo)

UTF-8 encoding: F0 9B 8A 88 (4 bytes).

Hex color
#01B288
RGB(1, 178, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.178.136.

Address
0.1.178.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.178.136

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 111,240 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 111240 first appears in π at position 48,666 of the decimal expansion (the 48,666ordinal-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°.