Live analysis

960,400

960,400 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.).

960,400 (nine hundred sixty thousand four hundred) is an even 6-digit number. It is a composite number with 75 divisors, and factors as 2⁴ × 5² × 7⁴. Its proper divisors sum to 1,731,361, more than the number itself, making it an abundant number. It is a perfect square (980²). Written other ways, in hexadecimal, 0xEA790.

Abundant Number Evil Number Happy Number Perfect Square Powerful Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

960,388 960,389 960,390 960,391 960,392 960,393 960,394 960,395 960,396 960,397 960,398 960,399 960,400 960,401 960,402 960,403 960,404 960,405 960,406 960,407 960,408 960,409 960,410 960,411 960,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,069
Square (n²): 922,368,160,000
Cube (n³): 885,842,380,864,000,000
Square root (√n): 980
Divisor count: 75
σ(n) — sum of divisors: 2,691,761
φ(n) — Euler's totient: 329,280
Sum of prime factors: 46

Primality

Prime factorization: 2 ⁴ × 5 ² × 7 ⁴

Nearest primes: 960,389 (−11) · 960,419 (+19)

Divisors & multiples

All divisors (75)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 49 · 50 · 56 · 70 · 80 · 98 · 100 · 112 · 140 · 175 · 196 · 200 · 245 · 280 · 343 · 350 · 392 · 400 · 490 · 560 · 686 · 700 · 784 · 980 · 1225 · 1372 · 1400 · 1715 · 1960 · 2401 · 2450 · 2744 · 2800 · 3430 · 3920 · 4802 · 4900 · 5488 · 6860 · 8575 · 9604 · 9800 · 12005 · 13720 · 17150 · 19208 · 19600 · 24010 · 27440 · 34300 · 38416 · 48020 · 60025 · 68600 · 96040 · 120050 · 137200 · 192080 · 240100 · 480200 (half) · 960400

Aliquot sum (sum of proper divisors): 1,731,361

Factor pairs (a × b = 960,400)

1 × 960400

2 × 480200

4 × 240100

5 × 192080

7 × 137200

8 × 120050

10 × 96040

14 × 68600

16 × 60025

20 × 48020

25 × 38416

28 × 34300

35 × 27440

40 × 24010

49 × 19600

50 × 19208

56 × 17150

70 × 13720

80 × 12005

98 × 9800

100 × 9604

112 × 8575

140 × 6860

175 × 5488

196 × 4900

200 × 4802

245 × 3920

280 × 3430

343 × 2800

350 × 2744

392 × 2450

400 × 2401

490 × 1960

560 × 1715

686 × 1400

700 × 1372

784 × 1225

980 × 980

First multiples

960,400 · 1,920,800 (double) · 2,881,200 · 3,841,600 · 4,802,000 · 5,762,400 · 6,722,800 · 7,683,200 · 8,643,600 · 9,604,000

Sums & aliquot sequence

As a sum of two squares: 0² + 980² = 588² + 784²

As consecutive integers: 192,078 + 192,079 + 192,080 + 192,081 + 192,082 137,197 + 137,198 + … + 137,203 38,404 + 38,405 + … + 38,428 29,997 + 29,998 + … + 30,028

Aliquot sequence: 960,400 → 1,731,361 → 1 → 0 — terminates at zero

Representations

In words: nine hundred sixty thousand four hundred
Ordinal: 960400th
Binary: 11101010011110010000
Octal: 3523620
Hexadecimal: 0xEA790
Base64: DqeQ
One's complement: 4,294,006,895 (32-bit)
Scientific notation: 9.604 × 10⁵
As a duration: 960,400 s = 11 days, 2 hours, 46 minutes, 40 seconds

In other bases

ternary (3) 1210210102101

quaternary (4) 3222132100

quinary (5) 221213100

senary (6) 32330144

septenary (7) 11110000

nonary (9) 1723371

undecimal (11) 5a6621

duodecimal (12) 3a3954

tridecimal (13) 2781ac

tetradecimal (14) 1b0000

pentadecimal (15) 13e86a

As an angle

960,400° = 2,667 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ϡξυʹ
Chinese: 九十六萬零四百
Chinese (financial): 玖拾陸萬零肆佰

In other modern scripts

Eastern Arabic ٩٦٠٤٠٠ Devanagari ९६०४०० Bengali ৯৬০৪০০ Tamil ௯௬௦௪௦௦ Thai ๙๖๐๔๐๐ Tibetan ༩༦༠༤༠༠ Khmer ៩៦០៤០០ Lao ໙໖໐໔໐໐ Burmese ၉၆၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 960400, here are decompositions:

11 + 960389 = 960400
17 + 960383 = 960400
47 + 960353 = 960400
59 + 960341 = 960400
71 + 960329 = 960400
101 + 960299 = 960400
107 + 960293 = 960400
149 + 960251 = 960400

Showing the first eight; more decompositions exist.

Hex color

#0EA790

RGB(14, 167, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.167.144.

Address: 0.14.167.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.167.144

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 960,400 and was likely granted around 1910.

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

Look up US960,400 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 960400 first appears in π at position 948,878 of the decimal expansion (the 948,878ordinal-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.

Look up 960400 on Pi Search ↗