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132311040 = 211355973
BaseRepresentation
bin1111110001011…
…10100000000000
3100012222002121220
413320232200000
5232332423130
621043515040
73164424321
oct770564000
9305862556
10132311040
1168760274
1238388a80
1321547674
1413802448
15b938410
hex7e2e800

132311040 has 192 divisors, whose sum is σ = 436363200. Its totient is φ = 34209792.

The previous prime is 132311033. The next prime is 132311057. The reversal of 132311040 is 40113231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1323110402 = 35012422611763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1812444 + ... + 1812516.

It is an arithmetic number, because the mean of its divisors is an integer number (2272725).

Almost surely, 2132311040 is an apocalyptic number.

132311040 is a gapful number since it is divisible by the number (10) 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 132311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218181600).

132311040 is an abundant number, since it is smaller than the sum of its proper divisors (304052160).

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

132311040 is an equidigital number, since it uses as much as digits as its factorization.

132311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132311040 is about 11502.6536068857. The cubic root of 132311040 is about 509.5639486961.

Adding to 132311040 its reverse (40113231), we get a palindrome (172424271).

The spelling of 132311040 in words is "one hundred thirty-two million, three hundred eleven thousand, forty".