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114,720

114,720 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.).

114,720 (one hundred fourteen thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 239. Its proper divisors sum to 248,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C020.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Self Number 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
27,411
Recamán's sequence
a(58,227) = 114,720
Square (n²)
13,160,678,400
Cube (n³)
1,509,793,026,048,000
Divisor count
48
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
30,464
Sum of prime factors
257

Primality

Prime factorization: 2 5 × 3 × 5 × 239

Nearest primes: 114,713 (−7) · 114,743 (+23)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 239 · 240 · 478 · 480 · 717 · 956 · 1195 · 1434 · 1912 · 2390 · 2868 · 3585 · 3824 · 4780 · 5736 · 7170 · 7648 · 9560 · 11472 · 14340 · 19120 · 22944 · 28680 · 38240 · 57360 (half) · 114720
Aliquot sum (sum of proper divisors): 248,160
Factor pairs (a × b = 114,720)
1 × 114720
2 × 57360
3 × 38240
4 × 28680
5 × 22944
6 × 19120
8 × 14340
10 × 11472
12 × 9560
15 × 7648
16 × 7170
20 × 5736
24 × 4780
30 × 3824
32 × 3585
40 × 2868
48 × 2390
60 × 1912
80 × 1434
96 × 1195
120 × 956
160 × 717
239 × 480
240 × 478
First multiples
114,720 · 229,440 (double) · 344,160 · 458,880 · 573,600 · 688,320 · 803,040 · 917,760 · 1,032,480 · 1,147,200

Sums & aliquot sequence

As consecutive integers: 38,239 + 38,240 + 38,241 22,942 + 22,943 + 22,944 + 22,945 + 22,946 7,641 + 7,642 + … + 7,655 1,761 + 1,762 + … + 1,824
Aliquot sequence: 114,720 248,160 622,752 1,141,248 1,903,200 4,877,616 7,802,128 7,358,732 5,928,724 4,446,550 3,907,826 2,404,858 1,202,432 1,839,040 3,171,872 3,641,200 5,107,744 — unresolved within range

Continued fraction of √n

√114,720 = [338; (1, 2, 2, 1, 2, 4, 3, 3, 6, 1, 4, 1, 4, 1, 6, 3, 3, 4, 2, 1, 2, 2, 1, 676)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred fourteen thousand seven hundred twenty
Ordinal
114720th
Binary
11100000000100000
Octal
340040
Hexadecimal
0x1C020
Base64
AcAg
One's complement
4,294,852,575 (32-bit)
Scientific notation
1.1472 × 10⁵
As a duration
114,720 s = 1 day, 7 hours, 52 minutes
In other bases
ternary (3) 12211100220
quaternary (4) 130000200
quinary (5) 12132340
senary (6) 2243040
septenary (7) 655314
nonary (9) 184326
undecimal (11) 79211
duodecimal (12) 56480
tridecimal (13) 402a8
tetradecimal (14) 2db44
pentadecimal (15) 23ed0

As an angle

114,720° = 318 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριδψκʹ
Mayan (base 20)
𝋮·𝋦·𝋰·𝋠
Chinese
一十一萬四千七百二十
Chinese (financial)
壹拾壹萬肆仟柒佰貳拾
In other modern scripts
Eastern Arabic ١١٤٧٢٠ Devanagari ११४७२० Bengali ১১৪৭২০ Tamil ௧௧௪௭௨௦ Thai ๑๑๔๗๒๐ Tibetan ༡༡༤༧༢༠ Khmer ១១៤៧២០ Lao ໑໑໔໗໒໐ Burmese ၁၁၄၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114720, here are decompositions:

  • 7 + 114713 = 114720
  • 29 + 114691 = 114720
  • 31 + 114689 = 114720
  • 41 + 114679 = 114720
  • 59 + 114661 = 114720
  • 61 + 114659 = 114720
  • 71 + 114649 = 114720
  • 79 + 114641 = 114720

Showing the first eight; more decompositions exist.

Hex color
#01C020
RGB(1, 192, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.192.32.

Address
0.1.192.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.192.32

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 114,720 and was likely granted around 1871.

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

Related reading

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