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132790392 = 23327319283
BaseRepresentation
bin1111110101000…
…11100001111000
3100020212110011200
413322203201320
5232443243032
621102054200
73201462000
oct772434170
9306773150
10132790392
1168a58429
123857a360
13216848c7
14138c9000
15b9d047c
hex7ea3878

132790392 has 192 divisors, whose sum is σ = 443040000. Its totient is φ = 35816256.

The previous prime is 132790379. The next prime is 132790393. The reversal of 132790392 is 293097231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132790393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469083 + ... + 469365.

It is an arithmetic number, because the mean of its divisors is an integer number (2307500).

Almost surely, 2132790392 is an apocalyptic number.

132790392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132790392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221520000).

132790392 is an abundant number, since it is smaller than the sum of its proper divisors (310249608).

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

132790392 is a wasteful number, since it uses less digits than its factorization.

132790392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 132790392 is about 11523.4713519842. The cubic root of 132790392 is about 510.1785764492.

It can be divided in two parts, 1327 and 90392, that added together give a palindrome (91719).

The spelling of 132790392 in words is "one hundred thirty-two million, seven hundred ninety thousand, three hundred ninety-two".