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76138601 = 7211294871
BaseRepresentation
bin1001000100111…
…00100001101001
312022021020112012
410202130201221
5123442413401
611315525305
71613111300
oct442344151
9168236465
1076138601
1139a84070
12215b9835
1312a0a936
14a17d437
156a3e8bb
hex489c869

76138601 has 24 divisors (see below), whose sum is σ = 99973440. Its totient is φ = 57271200.

The previous prime is 76138589. The next prime is 76138613. The reversal of 76138601 is 10683167.

It is an interprime number because it is at equal distance from previous prime (76138589) and next prime (76138613).

It is a de Polignac number, because none of the positive numbers 2k-76138601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76138651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13196 + ... + 18066.

It is an arithmetic number, because the mean of its divisors is an integer number (4165560).

Almost surely, 276138601 is an apocalyptic number.

It is an amenable number.

76138601 is a deficient number, since it is larger than the sum of its proper divisors (23834839).

76138601 is a wasteful number, since it uses less digits than its factorization.

76138601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 76138601 is about 8725.7435786298. The cubic root of 76138601 is about 423.8396973968.

The spelling of 76138601 in words is "seventy-six million, one hundred thirty-eight thousand, six hundred one".

Divisors: 1 7 11 29 49 77 203 319 539 1421 2233 4871 15631 34097 53581 141259 238679 375067 988813 1553849 2625469 6921691 10876943 76138601