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870701216 = 257113111399
BaseRepresentation
bin110011111001011…
…101100010100000
32020200101012112012
4303321131202200
53240344414331
6222222052052
730401560340
oct6371354240
92220335465
10870701216
11407540790
1220371a028
1310b508928
14838d0d20
155169082b
hex33e5d8a0

870701216 has 96 divisors (see below), whose sum is σ = 2206310400. Its totient is φ = 328262400.

The previous prime is 870701207. The next prime is 870701219. The reversal of 870701216 is 612107078.

870701216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (870701219) 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, 70685 + ... + 82083.

It is an arithmetic number, because the mean of its divisors is an integer number (22982400).

Almost surely, 2870701216 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 870701216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103155200).

870701216 is an abundant number, since it is smaller than the sum of its proper divisors (1335609184).

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

870701216 is a wasteful number, since it uses less digits than its factorization.

870701216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11458 (or 11450 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 870701216 is about 29507.6467377526. The cubic root of 870701216 is about 954.8966806164.

The spelling of 870701216 in words is "eight hundred seventy million, seven hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 308 341 352 434 496 616 682 868 992 1232 1364 1736 2387 2464 2728 3472 4774 5456 6944 9548 10912 11399 19096 22798 38192 45596 76384 79793 91192 125389 159586 182384 250778 319172 353369 364768 501556 638344 706738 877723 1003112 1276688 1413476 1755446 2006224 2473583 2553376 2826952 3510892 3887059 4012448 4947166 5653904 7021784 7774118 9894332 11307808 14043568 15548236 19788664 27209413 28087136 31096472 39577328 54418826 62192944 79154656 108837652 124385888 217675304 435350608 870701216