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132252432 = 24313211943
BaseRepresentation
bin1111110001000…
…00001100010000
3100012212010020020
413320200030100
5232324034212
621042343440
73164061414
oct770401420
9305763206
10132252432
1168720234
123835ab80
1321526aa0
14137c8d44
15b925d8c
hex7e20310

132252432 has 40 divisors (see below), whose sum is σ = 367934784. Its totient is φ = 40692864.

The previous prime is 132252403. The next prime is 132252433. The reversal of 132252432 is 234252231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132252433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105348 + ... + 106595.

Almost surely, 2132252432 is an apocalyptic number.

132252432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132252432 is an abundant number, since it is smaller than the sum of its proper divisors (235682352).

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

132252432 is a wasteful number, since it uses less digits than its factorization.

132252432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211967 (or 211961 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 132252432 is about 11500.1057386443. The cubic root of 132252432 is about 509.4886994084.

The spelling of 132252432 in words is "one hundred thirty-two million, two hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 211943 423886 635829 847772 1271658 1695544 2543316 2755259 3391088 5086632 5510518 8265777 10173264 11021036 16531554 22042072 33063108 44084144 66126216 132252432