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132308000 = 2553113197
BaseRepresentation
bin1111110001011…
…01110000100000
3100012221221110022
413320231300200
5232332324000
621043453012
73164412416
oct770556040
9305857408
10132308000
1168758a60
1238387168
1321546176
14138012b6
15b937585
hex7e2dc20

132308000 has 192 divisors, whose sum is σ = 369847296. Its totient is φ = 46080000.

The previous prime is 132307999. The next prime is 132308021. The reversal of 132308000 is 803231.

It is a self number, because there is not a number n which added to its sum of digits gives 132308000.

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 31 ways as a sum of consecutive naturals, for example, 1363952 + ... + 1364048.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 2132308000 is an apocalyptic number.

132308000 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 132308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

132308000 is an abundant number, since it is smaller than the sum of its proper divisors (237539296).

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

132308000 is a wasteful number, since it uses less digits than its factorization.

132308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 132308000 is about 11502.5214627055. The cubic root of 132308000 is about 509.5600460581.

The spelling of 132308000 in words is "one hundred thirty-two million, three hundred eight thousand".