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870014016 = 263212292
BaseRepresentation
bin110011110110110…
…101110001000000
32020122002021212100
4303312311301000
53240210422031
6222155230400
730362666004
oct6366656100
92218067770
10870014016
11407111453
12203448400
1310b327bc1
1483792704
15515a6de6
hex33db5c40

870014016 has 63 divisors (see below), whose sum is σ = 2495768821. Its totient is φ = 289768704.

The previous prime is 870014003. The next prime is 870014021. The reversal of 870014016 is 610410078.

It is a happy number.

The square root of 870014016 is 29496.

It is a perfect power (a square), and thus also a powerful number.

870014016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 858724416 + 11289600 = 29304^2 + 3360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 707290 + ... + 708518.

Almost surely, 2870014016 is an apocalyptic number.

870014016 is the 29496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870014016

870014016 is an abundant number, since it is smaller than the sum of its proper divisors (1625754805).

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

870014016 is an equidigital number, since it uses as much as digits as its factorization.

870014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The cubic root of 870014016 is about 954.6453974365.

The spelling of 870014016 in words is "eight hundred seventy million, fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1229 2458 3687 4916 7374 9832 11061 14748 19664 22122 29496 39328 44244 58992 78656 88488 117984 176976 235968 353952 707904 1510441 3020882 4531323 6041764 9062646 12083528 13593969 18125292 24167056 27187938 36250584 48334112 54375876 72501168 96668224 108751752 145002336 217503504 290004672 435007008 870014016