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132960000 = 28354277
BaseRepresentation
bin1111110110011…
…00111100000000
3100021012001211110
413323030330000
5233014210000
621105443320
73203066325
oct773147400
9307161743
10132960000
11690638a8
1238640540
1321713b74
1413930b4c
15ba15850
hex7eccf00

132960000 has 180 divisors, whose sum is σ = 443789192. Its totient is φ = 35328000.

The previous prime is 132959993. The next prime is 132960017. The reversal of 132960000 is 69231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479862 + ... + 480138.

Almost surely, 2132960000 is an apocalyptic number.

132960000 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 132960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221894596).

132960000 is an abundant number, since it is smaller than the sum of its proper divisors (310829192).

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

132960000 is an frugal number, since it uses more digits than its factorization.

132960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 132960000 is about 11530.8282443197. The cubic root of 132960000 is about 510.3956944504.

The spelling of 132960000 in words is "one hundred thirty-two million, nine hundred sixty thousand".