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120,600

120,600 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.).

120,600 (one hundred twenty thousand six hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 5² × 67. Its proper divisors sum to 290,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D718.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Refactorable Number Vampire Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
6,021
Square (n²)
14,544,360,000
Cube (n³)
1,754,049,816,000,000
Divisor count
72
σ(n) — sum of divisors
411,060
φ(n) — Euler's totient
31,680
Sum of prime factors
89

Primality

Prime factorization: 2 3 × 3 2 × 5 2 × 67

Nearest primes: 120,587 (−13) · 120,607 (+7)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 25 · 30 · 36 · 40 · 45 · 50 · 60 · 67 · 72 · 75 · 90 · 100 · 120 · 134 · 150 · 180 · 200 · 201 · 225 · 268 · 300 · 335 · 360 · 402 · 450 · 536 · 600 · 603 · 670 · 804 · 900 · 1005 · 1206 · 1340 · 1608 · 1675 · 1800 · 2010 · 2412 · 2680 · 3015 · 3350 · 4020 · 4824 · 5025 · 6030 · 6700 · 8040 · 10050 · 12060 · 13400 · 15075 · 20100 · 24120 · 30150 · 40200 · 60300 (half) · 120600
Aliquot sum (sum of proper divisors): 290,460
Factor pairs (a × b = 120,600)
1 × 120600
2 × 60300
3 × 40200
4 × 30150
5 × 24120
6 × 20100
8 × 15075
9 × 13400
10 × 12060
12 × 10050
15 × 8040
18 × 6700
20 × 6030
24 × 5025
25 × 4824
30 × 4020
36 × 3350
40 × 3015
45 × 2680
50 × 2412
60 × 2010
67 × 1800
72 × 1675
75 × 1608
90 × 1340
100 × 1206
120 × 1005
134 × 900
150 × 804
180 × 670
200 × 603
201 × 600
225 × 536
268 × 450
300 × 402
335 × 360
First multiples
120,600 · 241,200 (double) · 361,800 · 482,400 · 603,000 · 723,600 · 844,200 · 964,800 · 1,085,400 · 1,206,000

Sums & aliquot sequence

As consecutive integers: 40,199 + 40,200 + 40,201 24,118 + 24,119 + 24,120 + 24,121 + 24,122 13,396 + 13,397 + … + 13,404 8,033 + 8,034 + … + 8,047
Aliquot sequence: 120,600 290,460 548,196 847,548 1,460,940 2,946,708 4,502,006 2,468,938 1,324,922 667,354 339,494 172,906 86,456 78,784 77,680 103,112 90,238 — unresolved within range

Continued fraction of √n

√120,600 = [347; (3, 1, 1, 1, 2, 1, 5, 8, 1, 26, 1, 8, 5, 1, 2, 1, 1, 1, 3, 694)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand six hundred
Ordinal
120600th
Binary
11101011100011000
Octal
353430
Hexadecimal
0x1D718
Base64
AdcY
One's complement
4,294,846,695 (32-bit)
Scientific notation
1.206 × 10⁵
As a duration
120,600 s = 1 day, 9 hours, 30 minutes
In other bases
ternary (3) 20010102200
quaternary (4) 131130120
quinary (5) 12324400
senary (6) 2330200
septenary (7) 1011414
nonary (9) 203380
undecimal (11) 82677
duodecimal (12) 59960
tridecimal (13) 42b7c
tetradecimal (14) 31d44
pentadecimal (15) 25b00

As an angle

120,600° = 335 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρκχʹ
Mayan (base 20)
𝋯·𝋡·𝋪·𝋠
Chinese
一十二萬零六百
Chinese (financial)
壹拾貳萬零陸佰
In other modern scripts
Eastern Arabic ١٢٠٦٠٠ Devanagari १२०६०० Bengali ১২০৬০০ Tamil ௧௨௦௬௦௦ Thai ๑๒๐๖๐๐ Tibetan ༡༢༠༦༠༠ Khmer ១២០៦០០ Lao ໑໒໐໖໐໐ Burmese ၁၂၀၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120600, here are decompositions:

  • 13 + 120587 = 120600
  • 23 + 120577 = 120600
  • 31 + 120569 = 120600
  • 37 + 120563 = 120600
  • 43 + 120557 = 120600
  • 61 + 120539 = 120600
  • 89 + 120511 = 120600
  • 97 + 120503 = 120600

Showing the first eight; more decompositions exist.

Unicode codepoint
𝜘
Mathematical Italic Kappa Symbol
U+1D718
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9C 98 (4 bytes).

Hex color
#01D718
RGB(1, 215, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.24.

Address
0.1.215.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.24

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 120,600 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 120600 first appears in π at position 767,467 of the decimal expansion (the 767,467ordinal-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°.