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132678000 = 243653713
BaseRepresentation
bin1111110100010…
…00000101110000
3100020122202000000
413322020011300
5232431144000
621055430000
73200513220
oct772100560
9306582000
10132678000
1168990a44
1238525300
13216456c0
141389a080
15b9ac000
hex7e88170

132678000 has 560 divisors, whose sum is σ = 592003776. Its totient is φ = 27993600.

The previous prime is 132677981. The next prime is 132678017. The reversal of 132678000 is 876231.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 132678000 = 303 + 5103 = 2253 + 4953.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10205994 + ... + 10206006.

Almost surely, 2132678000 is an apocalyptic number.

132678000 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 132678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296001888).

132678000 is an abundant number, since it is smaller than the sum of its proper divisors (459325776).

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

132678000 is an equidigital number, since it uses as much as digits as its factorization.

132678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 132678000 is about 11518.5936641588. The cubic root of 132678000 is about 510.0345997287.

The spelling of 132678000 in words is "one hundred thirty-two million, six hundred seventy-eight thousand".