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156914064 = 24333111717
BaseRepresentation
bin10010101101001…
…01000110010000
3101221021001122000
421112211012100
5310132222224
623323114000
73613514256
oct1126450620
9357231560
10156914064
118063494a
1244672900
132667cc78
1416ba85d6
15db980c9
hex95a5190

156914064 has 80 divisors (see below), whose sum is σ = 464970240. Its totient is φ = 50613120.

The previous prime is 156913993. The next prime is 156914071. The reversal of 156914064 is 460419651.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7534 + ... + 19250.

It is an arithmetic number, because the mean of its divisors is an integer number (5812128).

Almost surely, 2156914064 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 156914064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485120).

156914064 is an abundant number, since it is smaller than the sum of its proper divisors (308056176).

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

156914064 is a wasteful number, since it uses less digits than its factorization.

156914064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11765 (or 11753 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 156914064 is about 12526.5343970310. The cubic root of 156914064 is about 539.3706247667.

The spelling of 156914064 in words is "one hundred fifty-six million, nine hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 11717 13392 23434 35151 46868 70302 93736 105453 140604 187472 210906 281208 316359 363227 421812 562416 632718 726454 843624 1089681 1265436 1452908 1687248 2179362 2530872 2905816 3269043 4358724 5061744 5811632 6538086 8717448 9807129 13076172 17434896 19614258 26152344 39228516 52304688 78457032 156914064