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132452100 = 2232521117787
BaseRepresentation
bin1111110010100…
…00111100000100
3100020020021010100
413321100330010
5232401431400
621050524100
73165552504
oct771207404
9306207110
10132452100
1168847250
1238436630
1321596931
141383ba04
15b965100
hex7e50f04

132452100 has 216 divisors, whose sum is σ = 480156768. Its totient is φ = 30182400.

The previous prime is 132452093. The next prime is 132452137. The reversal of 132452100 is 1254231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

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 71 ways as a sum of consecutive naturals, for example, 167907 + ... + 168693.

It is an arithmetic number, because the mean of its divisors is an integer number (2222948).

Almost surely, 2132452100 is an apocalyptic number.

132452100 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 132452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240078384).

132452100 is an abundant number, since it is smaller than the sum of its proper divisors (347704668).

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

132452100 is a wasteful number, since it uses less digits than its factorization.

132452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132452100 is about 11508.7836021015. The cubic root of 132452100 is about 509.7449705310.

The spelling of 132452100 in words is "one hundred thirty-two million, four hundred fifty-two thousand, one hundred".