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76972660 = 2257352721
BaseRepresentation
bin1001001011010…
…00001001110100
312100211121122021
410211220021310
5124201111120
611345442524
71623154042
oct445501164
9170747567
1076972660
113a4a3776
1221940444
1312c4046b
14a319392
156b56aaa
hex4968274

76972660 has 24 divisors (see below), whose sum is σ = 163859976. Its totient is φ = 30366720.

The previous prime is 76972657. The next prime is 76972661. The reversal of 76972660 is 6627967.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1004004 + 75968656 = 1002^2 + 8716^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76972661) 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, 24901 + ... + 27820.

It is an arithmetic number, because the mean of its divisors is an integer number (6827499).

Almost surely, 276972660 is an apocalyptic number.

It is an amenable number.

76972660 is an abundant number, since it is smaller than the sum of its proper divisors (86887316).

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

76972660 is a wasteful number, since it uses less digits than its factorization.

76972660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52803 (or 52801 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 76972660 is about 8773.4064080037. The cubic root of 76972660 is about 425.3817285455.

The spelling of 76972660 in words is "seventy-six million, nine hundred seventy-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 52721 105442 210884 263605 527210 1054420 3848633 7697266 15394532 19243165 38486330 76972660