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872531080 = 235891371789
BaseRepresentation
bin110100000000011…
…100010010001000
32020210211011121221
4310000130102020
53241331443310
6222325211424
730423251251
oct6400342210
92223734557
10872531080
11408580573
12204260b74
1310b9c97a5
1483c49b28
1551902ada
hex3401c488

872531080 has 64 divisors (see below), whose sum is σ = 2000862000. Its totient is φ = 342380544.

The previous prime is 872531057. The next prime is 872531087. The reversal of 872531080 is 80135278.

It can be written as a sum of positive squares in 8 ways, for example, as 506880196 + 365650884 = 22514^2 + 19122^2 .

It is a super-2 number, since 2×8725310802 = 1522620971131932800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872531087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486826 + ... + 488614.

Almost surely, 2872531080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872531080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000431000).

872531080 is an abundant number, since it is smaller than the sum of its proper divisors (1128330920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872531080 is a wasteful number, since it uses less digits than its factorization.

872531080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 872531080 is about 29538.6370707926. The cubic root of 872531080 is about 955.5651488931.

The spelling of 872531080 in words is "eight hundred seventy-two million, five hundred thirty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 89 137 178 274 356 445 548 685 712 890 1096 1370 1780 1789 2740 3560 3578 5480 7156 8945 12193 14312 17890 24386 35780 48772 60965 71560 97544 121930 159221 243860 245093 318442 487720 490186 636884 796105 980372 1225465 1273768 1592210 1960744 2450930 3184420 4901860 6368840 9803720 21813277 43626554 87253108 109066385 174506216 218132770 436265540 872531080