Live analysis

961,040

961,040 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.).

961,040 (nine hundred sixty-one thousand forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 41 × 293. Its proper divisors sum to 1,335,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEAA10.

Abundant Number Evil Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

961,028 961,029 961,030 961,031 961,032 961,033 961,034 961,035 961,036 961,037 961,038 961,039 961,040 961,041 961,042 961,043 961,044 961,045 961,046 961,047 961,048 961,049 961,050 961,051 961,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 40,169
Square (n²): 923,597,881,600
Cube (n³): 887,614,508,132,864,000
Divisor count: 40
σ(n) — sum of divisors: 2,296,728
φ(n) — Euler's totient: 373,760
Sum of prime factors: 347

Primality

Prime factorization: 2 ⁴ × 5 × 41 × 293

Nearest primes: 961,033 (−7) · 961,063 (+23)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 41 · 80 · 82 · 164 · 205 · 293 · 328 · 410 · 586 · 656 · 820 · 1172 · 1465 · 1640 · 2344 · 2930 · 3280 · 4688 · 5860 · 11720 · 12013 · 23440 · 24026 · 48052 · 60065 · 96104 · 120130 · 192208 · 240260 · 480520 (half) · 961040

Aliquot sum (sum of proper divisors): 1,335,688

Factor pairs (a × b = 961,040)

1 × 961040

2 × 480520

4 × 240260

5 × 192208

8 × 120130

10 × 96104

16 × 60065

20 × 48052

40 × 24026

41 × 23440

80 × 12013

82 × 11720

164 × 5860

205 × 4688

293 × 3280

328 × 2930

410 × 2344

586 × 1640

656 × 1465

820 × 1172

First multiples

961,040 · 1,922,080 (double) · 2,883,120 · 3,844,160 · 4,805,200 · 5,766,240 · 6,727,280 · 7,688,320 · 8,649,360 · 9,610,400

Sums & aliquot sequence

As a sum of two squares: 92² + 976² = 304² + 932² = 316² + 928² = 512² + 836²

As consecutive integers: 192,206 + 192,207 + 192,208 + 192,209 + 192,210 30,017 + 30,018 + … + 30,048 23,420 + 23,421 + … + 23,460 5,927 + 5,928 + … + 6,086

Aliquot sequence: 961,040 → 1,335,688 → 1,184,312 → 1,048,048 → 1,049,040 → 2,665,008 → 5,270,992 → 5,271,984 → 9,971,088 → 16,622,448 → 27,708,048 → 54,429,552 → 105,738,768 → 199,741,680 → 552,591,120 → 1,333,145,328 → 2,225,615,736 — unresolved within range

Continued fraction of √n

√961,040 = [980; (3, 15, 1, 6, 1, 2, 1, 1, 2, 1, 62, 1, 1, 8, 1, 7, 7, 9, 4, 6, 1, 1, 5, 1, …)]

Representations

In words: nine hundred sixty-one thousand forty
Ordinal: 961040th
Binary: 11101010101000010000
Octal: 3525020
Hexadecimal: 0xEAA10
Base64: DqoQ
One's complement: 4,294,006,255 (32-bit)
Scientific notation: 9.6104 × 10⁵
As a duration: 961,040 s = 11 days, 2 hours, 57 minutes, 20 seconds

In other bases

ternary (3) 1210211022002

quaternary (4) 3222220100

quinary (5) 221223130

senary (6) 32333132

septenary (7) 11111603

nonary (9) 1724262

undecimal (11) 5a7053

duodecimal (12) 3a41a8

tridecimal (13) 278582

tetradecimal (14) 1b033a

pentadecimal (15) 13eb45

As an angle

961,040° = 2,669 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϡξαμʹ
Chinese: 九十六萬一千零四十
Chinese (financial): 玖拾陸萬壹仟零肆拾

In other modern scripts

Eastern Arabic ٩٦١٠٤٠ Devanagari ९६१०४० Bengali ৯৬১০৪০ Tamil ௯௬௧௦௪௦ Thai ๙๖๑๐๔๐ Tibetan ༩༦༡༠༤༠ Khmer ៩៦១០៤០ Lao ໙໖໑໐໔໐ Burmese ၉၆၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 961040, here are decompositions:

7 + 961033 = 961040
19 + 961021 = 961040
37 + 961003 = 961040
79 + 960961 = 961040
103 + 960937 = 961040
109 + 960931 = 961040
151 + 960889 = 961040
211 + 960829 = 961040

Showing the first eight; more decompositions exist.

Hex color

#0EAA10

RGB(14, 170, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.170.16.

Address: 0.14.170.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.170.16

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 961,040 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 US961,040 on Google Patents ↗ Look up on USPTO ↗