Live analysis

980,120

980,120 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.).

980,120 (nine hundred eighty thousand one hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 107 × 229. Its proper divisors sum to 1,255,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEF498.

Abundant Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

980,108 980,109 980,110 980,111 980,112 980,113 980,114 980,115 980,116 980,117 980,118 980,119 980,120 980,121 980,122 980,123 980,124 980,125 980,126 980,127 980,128 980,129 980,130 980,131 980,132

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 21,089
Square (n²): 960,635,214,400
Cube (n³): 941,537,786,337,728,000
Divisor count: 32
σ(n) — sum of divisors: 2,235,600
φ(n) — Euler's totient: 386,688
Sum of prime factors: 347

Primality

Prime factorization: 2 ³ × 5 × 107 × 229

Nearest primes: 980,117 (−3) · 980,131 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 107 · 214 · 229 · 428 · 458 · 535 · 856 · 916 · 1070 · 1145 · 1832 · 2140 · 2290 · 4280 · 4580 · 9160 · 24503 · 49006 · 98012 · 122515 · 196024 · 245030 · 490060 (half) · 980120

Aliquot sum (sum of proper divisors): 1,255,480

Factor pairs (a × b = 980,120)

1 × 980120

2 × 490060

4 × 245030

5 × 196024

8 × 122515

10 × 98012

20 × 49006

40 × 24503

107 × 9160

214 × 4580

229 × 4280

428 × 2290

458 × 2140

535 × 1832

856 × 1145

916 × 1070

First multiples

980,120 · 1,960,240 (double) · 2,940,360 · 3,920,480 · 4,900,600 · 5,880,720 · 6,860,840 · 7,840,960 · 8,821,080 · 9,801,200

Sums & aliquot sequence

As consecutive integers: 196,022 + 196,023 + 196,024 + 196,025 + 196,026 61,250 + 61,251 + … + 61,265 12,212 + 12,213 + … + 12,291 9,107 + 9,108 + … + 9,213

Aliquot sequence: 980,120 → 1,255,480 → 1,569,440 → 2,363,272 → 2,328,788 → 2,752,876 → 2,752,932 → 5,156,060 → 8,175,076 → 9,938,460 → 21,865,956 → 38,999,100 → 92,936,900 → 139,964,860 → 195,951,140 → 317,088,604 → 330,383,060 — unresolved within range

Continued fraction of √n

√980,120 = [990; (99, 1980)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty thousand one hundred twenty
Ordinal: 980120th
Binary: 11101111010010011000
Octal: 3572230
Hexadecimal: 0xEF498
Base64: DvSY
One's complement: 4,293,987,175 (32-bit)
Scientific notation: 9.8012 × 10⁵
As a duration: 980,120 s = 11 days, 8 hours, 15 minutes, 20 seconds

In other bases

ternary (3) 1211210110202

quaternary (4) 3233102120

quinary (5) 222330440

senary (6) 33001332

septenary (7) 11221331

nonary (9) 1753422

undecimal (11) 60a419

duodecimal (12) 3b3248

tridecimal (13) 28416b

tetradecimal (14) 1b7288

pentadecimal (15) 145615

As an angle

980,120° = 2,722 × 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 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆
Greek (Milesian): ͵ϡπρκʹ
Chinese: 九十八萬零一百二十
Chinese (financial): 玖拾捌萬零壹佰貳拾

In other modern scripts

Eastern Arabic ٩٨٠١٢٠ Devanagari ९८०१२० Bengali ৯৮০১২০ Tamil ௯௮௦௧௨௦ Thai ๙๘๐๑๒๐ Tibetan ༩༨༠༡༢༠ Khmer ៩៨០១២០ Lao ໙໘໐໑໒໐ Burmese ၉၈၀၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 980120, here are decompositions:

3 + 980117 = 980120
13 + 980107 = 980120
73 + 980047 = 980120
151 + 979969 = 980120
199 + 979921 = 980120
313 + 979807 = 980120
373 + 979747 = 980120
571 + 979549 = 980120

Showing the first eight; more decompositions exist.

Hex color

#0EF498

RGB(14, 244, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.244.152.

Address: 0.14.244.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.244.152

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 980,120 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 US980,120 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 980120 first appears in π at position 128,428 of the decimal expansion (the 128,428ordinal-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 980120 on Pi Search ↗