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132488640 = 26325179257
BaseRepresentation
bin1111110010110…
…01110111000000
3100020022010020200
413321121313000
5232404114030
621051405200
73166064154
oct771316700
9306263220
10132488640
1168871749
1238453800
13215aa45b
141384b064
15b970d60
hex7e59dc0

132488640 has 168 divisors, whose sum is σ = 460034640. Its totient is φ = 34996224.

The previous prime is 132488621. The next prime is 132488651. The reversal of 132488640 is 46884231.

132488640 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 8 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132488595 and 132488604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515392 + ... + 515648.

Almost surely, 2132488640 is an apocalyptic number.

132488640 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 132488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230017320).

132488640 is an abundant number, since it is smaller than the sum of its proper divisors (327546000).

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

132488640 is a wasteful number, since it uses less digits than its factorization.

132488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 132488640 is about 11510.3709757766. The cubic root of 132488640 is about 509.7918412329.

The spelling of 132488640 in words is "one hundred thirty-two million, four hundred eighty-eight thousand, six hundred forty".