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132995520 = 263457733
BaseRepresentation
bin1111110110101…
…01100111000000
3100021020212120000
413323111213000
5233021324040
621110320000
73203305020
oct773254700
9307225500
10132995520
1169088559
1238659000
1321727098
141393da80
15ba21130
hex7ed59c0

132995520 has 280 divisors, whose sum is σ = 541410144. Its totient is φ = 30357504.

The previous prime is 132995519. The next prime is 132995579. The reversal of 132995520 is 25599231.

It is a happy number.

132995520 is a `hidden beast` number, since 13 + 2 + 99 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181074 + ... + 181806.

Almost surely, 2132995520 is an apocalyptic number.

132995520 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 132995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270705072).

132995520 is an abundant number, since it is smaller than the sum of its proper divisors (408414624).

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

132995520 is an equidigital number, since it uses as much as digits as its factorization.

132995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 132995520 is about 11532.3683604020. The cubic root of 132995520 is about 510.4411408025.

The spelling of 132995520 in words is "one hundred thirty-two million, nine hundred ninety-five thousand, five hundred twenty".