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132790944 = 253111317569
BaseRepresentation
bin1111110101000…
…11101010100000
3100020212110221010
413322203222200
5232443302234
621102100520
73201463416
oct772435240
9306773833
10132790944
1168a58890
123857a740
1321684c30
14138c92b6
15b9d06e9
hex7ea3aa0

132790944 has 192 divisors, whose sum is σ = 434367360. Its totient is φ = 34897920.

The previous prime is 132790919. The next prime is 132790979. The reversal of 132790944 is 449097231.

It is a super-2 number, since 2×1327909442 = 35266869616822272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233092 + ... + 233660.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2132790944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132790944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

132790944 is an abundant number, since it is smaller than the sum of its proper divisors (301576416).

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

132790944 is a wasteful number, since it uses less digits than its factorization.

132790944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 132790944 is about 11523.4953030754. The cubic root of 132790944 is about 510.1792833733.

The spelling of 132790944 in words is "one hundred thirty-two million, seven hundred ninety thousand, nine hundred forty-four".