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76634920 = 2353136121
BaseRepresentation
bin1001001000101…
…01101100101000
312100012110100101
410210111230220
5124104304140
611334315144
71620246265
oct444255450
9170173311
1076634920
113a292a4a
12217b8ab4
1312b5280b
14a26c26c
156adb99a
hex4915b28

76634920 has 32 divisors (see below), whose sum is σ = 173007720. Its totient is φ = 30551040.

The previous prime is 76634911. The next prime is 76634927. The reversal of 76634920 is 2943667.

It can be written as a sum of positive squares in 4 ways, for example, as 19873764 + 56761156 = 4458^2 + 7534^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76634920.

It is not an unprimeable number, because it can be changed into a prime (76634927) 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 7 ways as a sum of consecutive naturals, for example, 9460 + ... + 15580.

Almost surely, 276634920 is an apocalyptic number.

It is an amenable number.

76634920 is an abundant number, since it is smaller than the sum of its proper divisors (96372800).

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

76634920 is a wasteful number, since it uses less digits than its factorization.

76634920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 76634920 is about 8754.1373075821. The cubic root of 76634920 is about 424.7586542065.

The spelling of 76634920 in words is "seventy-six million, six hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 3130 6121 6260 12242 12520 24484 30605 48968 61210 122420 244840 1915873 3831746 7663492 9579365 15326984 19158730 38317460 76634920