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67130756 = 227111712821
BaseRepresentation
bin1000000000001…
…01010110000100
311200022121002022
410000011112010
5114141141011
610354502312
71443413330
oct400052604
9150277068
1067130756
1134991370
121a594998
1310ba5854
148cb67c0
155d608db
hex4005584

67130756 has 48 divisors (see below), whose sum is σ = 155094912. Its totient is φ = 24614400.

The previous prime is 67130741. The next prime is 67130771. The reversal of 67130756 is 65703176.

It is an interprime number because it is at equal distance from previous prime (67130741) and next prime (67130771).

It is a super-2 number, since 2×671307562 = 9013076802263072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175 + ... + 11646.

It is an arithmetic number, because the mean of its divisors is an integer number (3231144).

Almost surely, 267130756 is an apocalyptic number.

It is an amenable number.

67130756 is an abundant number, since it is smaller than the sum of its proper divisors (87964156).

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

67130756 is a wasteful number, since it uses less digits than its factorization.

67130756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12860 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 67130756 is about 8193.3360726874. The cubic root of 67130756 is about 406.4188531693.

The spelling of 67130756 in words is "sixty-seven million, one hundred thirty thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236 12821 25642 51284 89747 141031 179494 217957 282062 358988 435914 564124 871828 987217 1525699 1974434 2397527 3051398 3948868 4795054 6102796 9590108 16782689 33565378 67130756