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870961872 = 243112295171
BaseRepresentation
bin110011111010011…
…101001011010000
32020200212110002010
4303322131023100
53240431234442
6222231422520
730404024304
oct6372351320
92220773063
10870961872
114076a9600
12203824a40
1310b59a471
148395bd04
15516e2b9c
hex33e9d2d0

870961872 has 120 divisors (see below), whose sum is σ = 2558898720. Its totient is φ = 254777600.

The previous prime is 870961849. The next prime is 870961873. The reversal of 870961872 is 278169078.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870961873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165847 + ... + 171017.

It is an arithmetic number, because the mean of its divisors is an integer number (21324156).

Almost surely, 2870961872 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 870961872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279449360).

870961872 is an abundant number, since it is smaller than the sum of its proper divisors (1687936848).

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

870961872 is a wasteful number, since it uses less digits than its factorization.

870961872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 870961872 is about 29512.0631606806. The cubic root of 870961872 is about 954.9919581206.

The spelling of 870961872 in words is "eight hundred seventy million, nine hundred sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 121 132 174 176 232 242 264 319 348 363 464 484 528 638 696 726 957 968 1276 1392 1452 1914 1936 2552 2904 3509 3828 5104 5171 5808 7018 7656 10342 10527 14036 15312 15513 20684 21054 28072 31026 41368 42108 56144 56881 62052 82736 84216 113762 124104 149959 168432 170643 227524 248208 299918 341286 449877 455048 599836 625691 682572 899754 910096 1199672 1251382 1365144 1649549 1799508 1877073 2399344 2502764 2730288 3299098 3599016 3754146 4948647 5005528 6598196 7198032 7508292 9897294 10011056 13196392 15016584 18145039 19794588 26392784 30033168 36290078 39589176 54435117 72580156 79178352 108870234 145160312 217740468 290320624 435480936 870961872