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156860064 = 253473829
BaseRepresentation
bin10010101100101…
…11111010100000
3101221011022120000
421112113322200
5310124010224
623322020000
73613200654
oct1126277240
9357138500
10156860064
11805a8319
1244647600
132666150a
1416b92a64
15db870c9
hex9597ea0

156860064 has 120 divisors (see below), whose sum is σ = 468204660. Its totient is φ = 51508224.

The previous prime is 156860059. The next prime is 156860083. The reversal of 156860064 is 460068651.

156860064 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 2 ways, for example, as 156050064 + 810000 = 12492^2 + 900^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188802 + ... + 189630.

Almost surely, 2156860064 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 156860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234102330).

156860064 is an abundant number, since it is smaller than the sum of its proper divisors (311344596).

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

156860064 is an equidigital number, since it uses as much as digits as its factorization.

156860064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 156860064 is about 12524.3787869898. The cubic root of 156860064 is about 539.3087451307.

The spelling of 156860064 in words is "one hundred fifty-six million, eight hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 288 292 324 432 438 584 648 657 829 864 876 1168 1296 1314 1658 1752 1971 2336 2487 2592 2628 3316 3504 3942 4974 5256 5913 6632 7008 7461 7884 9948 10512 11826 13264 14922 15768 19896 21024 22383 23652 26528 29844 31536 39792 44766 47304 59688 60517 63072 67149 79584 89532 94608 119376 121034 134298 179064 181551 189216 238752 242068 268596 358128 363102 484136 537192 544653 716256 726204 968272 1074384 1089306 1452408 1633959 1936544 2148768 2178612 2904816 3267918 4357224 4901877 5809632 6535836 8714448 9803754 13071672 17428896 19607508 26143344 39215016 52286688 78430032 156860064