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132252580 = 2256612629
BaseRepresentation
bin1111110001000…
…00001110100100
3100012212010102201
413320200032210
5232324040310
621042344244
73164062015
oct770401644
9305763381
10132252580
1168720359
123835b084
1321526b85
14137c900c
15b925e3a
hex7e203a4

132252580 has 12 divisors (see below), whose sum is σ = 277730460. Its totient is φ = 52901024.

The previous prime is 132252577. The next prime is 132252583. The reversal of 132252580 is 85252231.

It is an interprime number because it is at equal distance from previous prime (132252577) and next prime (132252583).

It can be written as a sum of positive squares in 2 ways, for example, as 16990884 + 115261696 = 4122^2 + 10736^2 .

It is not an unprimeable number, because it can be changed into a prime (132252583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3306295 + ... + 3306334.

It is an arithmetic number, because the mean of its divisors is an integer number (23144205).

Almost surely, 2132252580 is an apocalyptic number.

132252580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132252580 is an abundant number, since it is smaller than the sum of its proper divisors (145477880).

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

132252580 is a wasteful number, since it uses less digits than its factorization.

132252580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612638 (or 6612636 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 132252580 is about 11500.1121733660. The cubic root of 132252580 is about 509.4888894599.

The spelling of 132252580 in words is "one hundred thirty-two million, two hundred fifty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 6612629 13225258 26450516 33063145 66126290 132252580