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120,150

120,150 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.).

120,150 (one hundred twenty thousand one hundred fifty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3³ × 5² × 89. Its proper divisors sum to 214,650, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D556.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven 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
51,021
Recamán's sequence
a(239,796) = 120,150
Square (n²)
14,436,022,500
Cube (n³)
1,734,488,103,375,000
Divisor count
48
σ(n) — sum of divisors
334,800
φ(n) — Euler's totient
31,680
Sum of prime factors
110

Primality

Prime factorization: 2 × 3 3 × 5 2 × 89

Nearest primes: 120,121 (−29) · 120,157 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 25 · 27 · 30 · 45 · 50 · 54 · 75 · 89 · 90 · 135 · 150 · 178 · 225 · 267 · 270 · 445 · 450 · 534 · 675 · 801 · 890 · 1335 · 1350 · 1602 · 2225 · 2403 · 2670 · 4005 · 4450 · 4806 · 6675 · 8010 · 12015 · 13350 · 20025 · 24030 · 40050 · 60075 (half) · 120150
Aliquot sum (sum of proper divisors): 214,650
Factor pairs (a × b = 120,150)
1 × 120150
2 × 60075
3 × 40050
5 × 24030
6 × 20025
9 × 13350
10 × 12015
15 × 8010
18 × 6675
25 × 4806
27 × 4450
30 × 4005
45 × 2670
50 × 2403
54 × 2225
75 × 1602
89 × 1350
90 × 1335
135 × 890
150 × 801
178 × 675
225 × 534
267 × 450
270 × 445
First multiples
120,150 · 240,300 (double) · 360,450 · 480,600 · 600,750 · 720,900 · 841,050 · 961,200 · 1,081,350 · 1,201,500

Sums & aliquot sequence

As consecutive integers: 40,049 + 40,050 + 40,051 30,036 + 30,037 + 30,038 + 30,039 24,028 + 24,029 + 24,030 + 24,031 + 24,032 13,346 + 13,347 + … + 13,354
Aliquot sequence: 120,150 214,650 393,012 635,246 385,954 192,980 212,320 289,664 314,176 309,394 171,800 228,100 267,094 138,626 69,316 68,668 51,508 — unresolved within range

Continued fraction of √n

√120,150 = [346; (1, 1, 1, 2, 9, 2, 1, 1, 3, 13, 1, 6, 1, 2, 4, 1, 4, 1, 2, 1, 2, 1, 13, 7, …)]

Representations

In words
one hundred twenty thousand one hundred fifty
Ordinal
120150th
Binary
11101010101010110
Octal
352526
Hexadecimal
0x1D556
Base64
AdVW
One's complement
4,294,847,145 (32-bit)
Scientific notation
1.2015 × 10⁵
As a duration
120,150 s = 1 day, 9 hours, 22 minutes, 30 seconds
In other bases
ternary (3) 20002211000
quaternary (4) 131111112
quinary (5) 12321100
senary (6) 2324130
septenary (7) 1010202
nonary (9) 202730
undecimal (11) 822a8
duodecimal (12) 59646
tridecimal (13) 428c4
tetradecimal (14) 31b02
pentadecimal (15) 25900

As an angle

120,150° = 333 × 360° + 270°
270° ≈ 4.712 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκρνʹ
Mayan (base 20)
𝋯·𝋠·𝋧·𝋪
Chinese
一十二萬零一百五十
Chinese (financial)
壹拾貳萬零壹佰伍拾
In other modern scripts
Eastern Arabic ١٢٠١٥٠ Devanagari १२०१५० Bengali ১২০১৫০ Tamil ௧௨௦௧௫௦ Thai ๑๒๐๑๕๐ Tibetan ༡༢༠༡༥༠ Khmer ១២០១៥០ Lao ໑໒໐໑໕໐ Burmese ၁၂၀၁၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120150, here are decompositions:

  • 29 + 120121 = 120150
  • 47 + 120103 = 120150
  • 53 + 120097 = 120150
  • 59 + 120091 = 120150
  • 71 + 120079 = 120150
  • 73 + 120077 = 120150
  • 83 + 120067 = 120150
  • 101 + 120049 = 120150

Showing the first eight; more decompositions exist.

Unicode codepoint
𝕖
Mathematical Double-Struck Small E
U+1D556
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 95 96 (4 bytes).

Hex color
#01D556
RGB(1, 213, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.86.

Address
0.1.213.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.86

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 120,150 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 120150 first appears in π at position 19,037 of the decimal expansion (the 19,037ordinal-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°.