Live analysis

961,440

961,440 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.).

961,440 (nine hundred sixty-one thousand four hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 2,003. Its proper divisors sum to 2,068,608, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEABA0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

961,428 961,429 961,430 961,431 961,432 961,433 961,434 961,435 961,436 961,437 961,438 961,439 961,440 961,441 961,442 961,443 961,444 961,445 961,446 961,447 961,448 961,449 961,450 961,451 961,452

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 44,169
Square (n²): 924,366,873,600
Cube (n³): 888,723,286,953,984,000
Divisor count: 48
σ(n) — sum of divisors: 3,030,048
φ(n) — Euler's totient: 256,256
Sum of prime factors: 2,021

Primality

Prime factorization: 2 ⁵ × 3 × 5 × 2003

Nearest primes: 961,427 (−13) · 961,447 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 480 · 2003 · 4006 · 6009 · 8012 · 10015 · 12018 · 16024 · 20030 · 24036 · 30045 · 32048 · 40060 · 48072 · 60090 · 64096 · 80120 · 96144 · 120180 · 160240 · 192288 · 240360 · 320480 · 480720 (half) · 961440

Aliquot sum (sum of proper divisors): 2,068,608

Factor pairs (a × b = 961,440)

1 × 961440

2 × 480720

3 × 320480

4 × 240360

5 × 192288

6 × 160240

8 × 120180

10 × 96144

12 × 80120

15 × 64096

16 × 60090

20 × 48072

24 × 40060

30 × 32048

32 × 30045

40 × 24036

48 × 20030

60 × 16024

80 × 12018

96 × 10015

120 × 8012

160 × 6009

240 × 4006

480 × 2003

First multiples

961,440 · 1,922,880 (double) · 2,884,320 · 3,845,760 · 4,807,200 · 5,768,640 · 6,730,080 · 7,691,520 · 8,652,960 · 9,614,400

Sums & aliquot sequence

As consecutive integers: 320,479 + 320,480 + 320,481 192,286 + 192,287 + 192,288 + 192,289 + 192,290 64,089 + 64,090 + … + 64,103 14,991 + 14,992 + … + 15,054

Aliquot sequence: 961,440 → 2,068,608 → 3,427,152 → 5,426,448 → 8,592,000 → 20,049,600 → 45,745,544 → 46,625,476 → 37,174,632 → 64,211,448 → 130,050,312 → 248,160,648 → 376,358,712 → 567,562,968 → 1,209,058,632 → 2,258,098,308 → 3,664,916,244 — unresolved within range

Continued fraction of √n

√961,440 = [980; (1, 1, 7, 1, 2, 2, 1, 1, 4, 7, 1, 11, 2, 1, 1, 1, 4, 11, 2, 1, 1, 2, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: nine hundred sixty-one thousand four hundred forty
Ordinal: 961440th
Binary: 11101010101110100000
Octal: 3525640
Hexadecimal: 0xEABA0
Base64: Dqug
One's complement: 4,294,005,855 (32-bit)
Scientific notation: 9.6144 × 10⁵
As a duration: 961,440 s = 11 days, 3 hours, 4 minutes

In other bases

ternary (3) 1210211211220

quaternary (4) 3222232200

quinary (5) 221231230

senary (6) 32335040

septenary (7) 11113014

nonary (9) 1724756

undecimal (11) 5a7387

duodecimal (12) 3a4480

tridecimal (13) 2787cc

tetradecimal (14) 1b0544

pentadecimal (15) 13ed10

As an angle

961,440° = 2,670 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡξαυμʹ
Chinese: 九十六萬一千四百四十
Chinese (financial): 玖拾陸萬壹仟肆佰肆拾

In other modern scripts

Eastern Arabic ٩٦١٤٤٠ Devanagari ९६१४४० Bengali ৯৬১৪৪০ Tamil ௯௬௧௪௪௦ Thai ๙๖๑๔๔๐ Tibetan ༩༦༡༤༤༠ Khmer ៩៦១៤៤០ Lao ໙໖໑໔໔໐ Burmese ၉၆၁၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 961440, here are decompositions:

13 + 961427 = 961440
41 + 961399 = 961440
43 + 961397 = 961440
47 + 961393 = 961440
101 + 961339 = 961440
127 + 961313 = 961440
157 + 961283 = 961440
163 + 961277 = 961440

Showing the first eight; more decompositions exist.

Hex color

#0EABA0

RGB(14, 171, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.171.160.

Address: 0.14.171.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.171.160

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 961,440 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 US961,440 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 961440 first appears in π at position 126,315 of the decimal expansion (the 126,315ordinal-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 961440 on Pi Search ↗