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870431072 = 25713129663
BaseRepresentation
bin110011111000011…
…011100101100000
32020122212110221212
4303320123211200
53240312243242
6222212205252
730366353630
oct6370334540
92218773855
10870431072
11407376825
12203609828
1310b442994
14838606c0
155163a782
hex33e1b960

870431072 has 48 divisors (see below), whose sum is σ = 1973486592. Its totient is φ = 370181760.

The previous prime is 870431033. The next prime is 870431083. The reversal of 870431072 is 270134078.

It is a happy number.

870431072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8704310722 = 1515300502206138368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14513 + ... + 44175.

It is an arithmetic number, because the mean of its divisors is an integer number (41114304).

Almost surely, 2870431072 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 870431072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986743296).

870431072 is an abundant number, since it is smaller than the sum of its proper divisors (1103055520).

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

870431072 is a wasteful number, since it uses less digits than its factorization.

870431072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29811 (or 29803 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 870431072 is about 29503.0688573240. The cubic root of 870431072 is about 954.7979148986.

The spelling of 870431072 in words is "eight hundred seventy million, four hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 3668 4192 7336 14672 29344 29663 59326 118652 207641 237304 415282 474608 830564 949216 1661128 3322256 3885853 6644512 7771706 15543412 27200971 31086824 54401942 62173648 108803884 124347296 217607768 435215536 870431072