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156430768 = 24131315741
BaseRepresentation
bin10010101001011…
…11000110110000
3101220100111200011
421110233012300
5310021241033
623304504304
73606432244
oct1124570660
9356314604
10156430768
118033482a
124447b094
1326540cb0
1416ac0424
15daeeccd
hex952f1b0

156430768 has 40 divisors (see below), whose sum is σ = 328947696. Its totient is φ = 71635200.

The previous prime is 156430699. The next prime is 156430789. The reversal of 156430768 is 867034651.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 156430768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24378 + ... + 30118.

Almost surely, 2156430768 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 156430768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164473848).

156430768 is an abundant number, since it is smaller than the sum of its proper divisors (172516928).

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

156430768 is a wasteful number, since it uses less digits than its factorization.

156430768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 156430768 is about 12507.2286298764. The cubic root of 156430768 is about 538.8163006459.

The spelling of 156430768 in words is "one hundred fifty-six million, four hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 131 208 262 524 1048 1703 2096 3406 5741 6812 11482 13624 22964 27248 45928 74633 91856 149266 298532 597064 752071 1194128 1504142 3008284 6016568 9776923 12033136 19553846 39107692 78215384 156430768