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133832920 = 23513257371
BaseRepresentation
bin1111111101000…
…10000011011000
3100022211102020211
413332202003120
5233230123140
621140300504
73213363304
oct776420330
9308742224
10133832920
11695aa721
12389a1734
132195b2a0
1413abad04
15bb392ea
hex7fa20d8

133832920 has 32 divisors (see below), whose sum is σ = 324288720. Its totient is φ = 49415040.

The previous prime is 133832911. The next prime is 133832927. The reversal of 133832920 is 29238331.

133832920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1338329202 = 35822500951452800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133832927) 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, 128166 + ... + 129205.

Almost surely, 2133832920 is an apocalyptic number.

133832920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133832920 is an abundant number, since it is smaller than the sum of its proper divisors (190455800).

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

133832920 is a wasteful number, since it uses less digits than its factorization.

133832920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257395 (or 257391 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 133832920 is about 11568.6178949778. The cubic root of 133832920 is about 511.5102229556.

The spelling of 133832920 in words is "one hundred thirty-three million, eight hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 257371 514742 1029484 1286855 2058968 2573710 3345823 5147420 6691646 10294840 13383292 16729115 26766584 33458230 66916460 133832920