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870681376 = 25233121231
BaseRepresentation
bin110011111001011…
…000101100100000
32020200100012022101
4303321120230200
53240343301001
6222221420144
730401445445
oct6371305440
92220305271
10870681376
11407527894
1220370a654
1310b4cc8a6
14838c79cc
1551689a01
hex33e58b20

870681376 has 72 divisors (see below), whose sum is σ = 1849744512. Its totient is φ = 402652800.

The previous prime is 870681347. The next prime is 870681379. The reversal of 870681376 is 673186078.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (870681379) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706681 + ... + 707911.

It is an arithmetic number, because the mean of its divisors is an integer number (25690896).

Almost surely, 2870681376 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 870681376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924872256).

870681376 is an abundant number, since it is smaller than the sum of its proper divisors (979063136).

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

870681376 is a wasteful number, since it uses less digits than its factorization.

870681376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 870681376 is about 29507.3105517938. The cubic root of 870681376 is about 954.8894277288.

The spelling of 870681376 in words is "eight hundred seventy million, six hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 961 992 1231 1426 1922 2462 2852 3844 4924 5704 7688 9848 11408 15376 19696 22103 22816 28313 30752 38161 39392 44206 56626 76322 88412 113252 152644 176824 226504 305288 353648 453008 610576 707296 877703 906016 1182991 1221152 1755406 2365982 3510812 4731964 7021624 9463928 14043248 18927856 27208793 28086496 37855712 54417586 108835172 217670344 435340688 870681376