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132940900 = 225211532
BaseRepresentation
bin1111110110010…
…00010001100100
3100021011002122001
413323020101210
5233013102100
621105215044
73202656541
oct773102144
9307132561
10132940900
1169050514
1238631484
1321708271
1413927bc8
15ba0ed6a
hex7ec8464

132940900 has 27 divisors (see below), whose sum is σ = 288732171. Its totient is φ = 53130240.

The previous prime is 132940883. The next prime is 132940937. The reversal of 132940900 is 9049231.

It is a happy number.

The square root of 132940900 is 11530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3709476 + 129231424 = 1926^2 + 11368^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 114724 + ... + 115876.

Almost surely, 2132940900 is an apocalyptic number.

132940900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132940900 is the 11530-th square number.

It is an amenable number.

132940900 is an abundant number, since it is smaller than the sum of its proper divisors (155791271).

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

132940900 is an equidigital number, since it uses as much as digits as its factorization.

132940900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The cubic root of 132940900 is about 510.3712534541.

The spelling of 132940900 in words is "one hundred thirty-two million, nine hundred forty thousand, nine hundred".