189,420
189,420 is a composite number, even.
189,420 (one hundred eighty-nine thousand four hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 7 × 11 × 41. Its proper divisors sum to 487,956, more than the number itself, making it an abundant number. It is the 615th triangular number. Written other ways, in hexadecimal, 0x2E3EC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 24,981
- Recamán's sequence
- a(168,792) = 189,420
- Square (n²)
- 35,879,936,400
- Cube (n³)
- 6,796,377,552,888,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 677,376
- φ(n) — Euler's totient
- 38,400
- Sum of prime factors
- 71
Primality
Prime factorization: 2 2 × 3 × 5 × 7 × 11 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√189,420 = [435; (4, 2, 6, 4, 1, 216, 1, 4, 6, 2, 4, 870)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eighty-nine thousand four hundred twenty
- Ordinal
- 189420th
- Binary
- 101110001111101100
- Octal
- 561754
- Hexadecimal
- 0x2E3EC
- Base64
- AuPs
- One's complement
- 4,294,777,875 (32-bit)
- Scientific notation
- 1.8942 × 10⁵
- As a duration
- 189,420 s = 2 days, 4 hours, 37 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρπθυκʹ
- Chinese
- 十八萬九千四百二十
- Chinese (financial)
- 壹拾捌萬玖仟肆佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 189420, here are decompositions:
- 13 + 189407 = 189420
- 19 + 189401 = 189420
- 29 + 189391 = 189420
- 31 + 189389 = 189420
- 43 + 189377 = 189420
- 59 + 189361 = 189420
- 67 + 189353 = 189420
- 71 + 189349 = 189420
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 AE 8F AC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.227.236.
- Address
- 0.2.227.236
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.227.236
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 189,420 and was likely granted around 1875.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 189420 first appears in π at position 572,695 of the decimal expansion (the 572,695ordinal-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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.