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132582976 = 2610212029
BaseRepresentation
bin1111110011100…
…00111001000000
3100020110220122121
413321300321000
5232420123401
621053414024
73166636201
oct771607100
9306426577
10132582976
1168926609
123849a314
1321611386
14138735a8
15b98dca1
hex7e70e40

132582976 has 28 divisors (see below), whose sum is σ = 263481820. Its totient is φ = 66193920.

The previous prime is 132582943. The next prime is 132582997. The reversal of 132582976 is 679285231.

132582976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 112869376 + 19713600 = 10624^2 + 4440^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64330 + ... + 66358.

It is an arithmetic number, because the mean of its divisors is an integer number (9410065).

Almost surely, 2132582976 is an apocalyptic number.

132582976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132582976 is a deficient number, since it is larger than the sum of its proper divisors (130898844).

132582976 is a wasteful number, since it uses less digits than its factorization.

132582976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3052 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 132582976 is about 11514.4681162440. The cubic root of 132582976 is about 509.9128083673.

The spelling of 132582976 in words is "one hundred thirty-two million, five hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 1021 2029 2042 4058 4084 8116 8168 16232 16336 32464 32672 64928 65344 129856 2071609 4143218 8286436 16572872 33145744 66291488 132582976