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76520164 = 2272675827
BaseRepresentation
bin1001000111110…
…01101011100100
312022222121221011
410203321223210
5124042121124
611332032004
71616260600
oct443715344
9168877834
1076520164
113a214806
1221762604
1312b12506
14a23c500
156ab7994
hex48f9ae4

76520164 has 36 divisors (see below), whose sum is σ = 158125296. Its totient is φ = 32299344.

The previous prime is 76520159. The next prime is 76520189. The reversal of 76520164 is 46102567.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10219 + ... + 16045.

Almost surely, 276520164 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 76520164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79062648).

76520164 is an abundant number, since it is smaller than the sum of its proper divisors (81605132).

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

76520164 is a wasteful number, since it uses less digits than its factorization.

76520164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 76520164 is about 8747.5804654773. The cubic root of 76520164 is about 424.5465317843.

The spelling of 76520164 in words is "seventy-six million, five hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 469 938 1876 3283 5827 6566 11654 13132 23308 40789 81578 163156 285523 390409 571046 780818 1142092 1561636 2732863 5465726 10931452 19130041 38260082 76520164