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120,474

120,474 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.).

120,474 (one hundred twenty thousand four hundred seventy-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 23 × 97. Its proper divisors sum to 161,766, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D69A.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
474,021
Square (n²)
14,513,984,676
Cube (n³)
1,748,557,789,856,424
Divisor count
32
σ(n) — sum of divisors
282,240
φ(n) — Euler's totient
38,016
Sum of prime factors
131

Primality

Prime factorization: 2 × 3 3 × 23 × 97

Nearest primes: 120,473 (−1) · 120,503 (+29)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 18 · 23 · 27 · 46 · 54 · 69 · 97 · 138 · 194 · 207 · 291 · 414 · 582 · 621 · 873 · 1242 · 1746 · 2231 · 2619 · 4462 · 5238 · 6693 · 13386 · 20079 · 40158 · 60237 (half) · 120474
Aliquot sum (sum of proper divisors): 161,766
Factor pairs (a × b = 120,474)
1 × 120474
2 × 60237
3 × 40158
6 × 20079
9 × 13386
18 × 6693
23 × 5238
27 × 4462
46 × 2619
54 × 2231
69 × 1746
97 × 1242
138 × 873
194 × 621
207 × 582
291 × 414
First multiples
120,474 · 240,948 (double) · 361,422 · 481,896 · 602,370 · 722,844 · 843,318 · 963,792 · 1,084,266 · 1,204,740

Sums & aliquot sequence

As consecutive integers: 40,157 + 40,158 + 40,159 30,117 + 30,118 + 30,119 + 30,120 13,382 + 13,383 + … + 13,390 10,034 + 10,035 + … + 10,045
Aliquot sequence: 120,474 161,766 250,074 357,606 417,246 423,858 445,038 534,906 624,096 1,321,848 2,585,952 5,246,208 12,561,120 38,623,104 81,114,696 163,583,604 270,877,836 — unresolved within range

Continued fraction of √n

√120,474 = [347; (10, 1, 2, 9, 6, 27, 1, 1, 1, 1, 10, 12, 1, 3, 5, 2, 3, 2, 1, 3, 1, 9, 7, 1, …)]

Representations

In words
one hundred twenty thousand four hundred seventy-four
Ordinal
120474th
Binary
11101011010011010
Octal
353232
Hexadecimal
0x1D69A
Base64
Adaa
One's complement
4,294,846,821 (32-bit)
Scientific notation
1.20474 × 10⁵
As a duration
120,474 s = 1 day, 9 hours, 27 minutes, 54 seconds
In other bases
ternary (3) 20010021000
quaternary (4) 131122122
quinary (5) 12323344
senary (6) 2325430
septenary (7) 1011144
nonary (9) 203230
undecimal (11) 82572
duodecimal (12) 59876
tridecimal (13) 42ab3
tetradecimal (14) 31c94
pentadecimal (15) 25a69

As an angle

120,474° = 334 × 360° + 234°
234° ≈ 4.084 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκυοδʹ
Mayan (base 20)
𝋯·𝋡·𝋣·𝋮
Chinese
一十二萬零四百七十四
Chinese (financial)
壹拾貳萬零肆佰柒拾肆
In other modern scripts
Eastern Arabic ١٢٠٤٧٤ Devanagari १२०४७४ Bengali ১২০৪৭৪ Tamil ௧௨௦௪௭௪ Thai ๑๒๐๔๗๔ Tibetan ༡༢༠༤༧༤ Khmer ១២០៤៧៤ Lao ໑໒໐໔໗໔ Burmese ၁၂၀၄၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120474, here are decompositions:

  • 43 + 120431 = 120474
  • 47 + 120427 = 120474
  • 61 + 120413 = 120474
  • 73 + 120401 = 120474
  • 83 + 120391 = 120474
  • 103 + 120371 = 120474
  • 181 + 120293 = 120474
  • 191 + 120283 = 120474

Showing the first eight; more decompositions exist.

Unicode codepoint
𝚚
Mathematical Monospace Small Q
U+1D69A
Lowercase letter (Ll)

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

Hex color
#01D69A
RGB(1, 214, 154)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.154.

Address
0.1.214.154
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.154

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 120,474 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 120474 first appears in π at position 146,326 of the decimal expansion (the 146,326ordinal-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°.