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76132692 = 22322114797
BaseRepresentation
bin1001000100110…
…11000101010100
312022020221102100
410202123011110
5123442221232
611315442100
71613055126
oct442330524
9168227370
1076132692
1139a7a689
12215b6330
1312a0803c
14a17b216
156a3cc7c
hex489b154

76132692 has 18 divisors (see below), whose sum is σ = 192446618. Its totient is φ = 25377552.

The previous prime is 76132687. The next prime is 76132699. The reversal of 76132692 is 29623167.

It can be written as a sum of positive squares in only one way, i.e., 64064016 + 12068676 = 8004^2 + 3474^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2114797 = 76132692 / (7 + 6 + 1 + 3 + 2 + 6 + 9 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76132699) 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 5 ways as a sum of consecutive naturals, for example, 1057363 + ... + 1057434.

Almost surely, 276132692 is an apocalyptic number.

It is an amenable number.

76132692 is an abundant number, since it is smaller than the sum of its proper divisors (116313926).

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

76132692 is a wasteful number, since it uses less digits than its factorization.

76132692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114807 (or 2114802 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 76132692 is about 8725.4049762747. The cubic root of 76132692 is about 423.8287325970.

The spelling of 76132692 in words is "seventy-six million, one hundred thirty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 2114797 4229594 6344391 8459188 12688782 19033173 25377564 38066346 76132692