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133382120 = 2356195387
BaseRepresentation
bin1111111001100…
…11111111101000
3100021222111212112
413330303333220
5233121211440
621122501452
73206505104
oct774637750
9307874775
10133382120
1169321a63
1238804888
1321831041
1413a00904
15ba9a965
hex7f33fe8

133382120 has 32 divisors (see below), whose sum is σ = 300650400. Its totient is φ = 53256768.

The previous prime is 133382111. The next prime is 133382167. The reversal of 133382120 is 21283331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22067 + ... + 27453.

It is an arithmetic number, because the mean of its divisors is an integer number (9395325).

Almost surely, 2133382120 is an apocalyptic number.

133382120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133382120 is an abundant number, since it is smaller than the sum of its proper divisors (167268280).

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

133382120 is a wasteful number, since it uses less digits than its factorization.

133382120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 133382120 is about 11549.1177152196. The cubic root of 133382120 is about 510.9352568023.

The spelling of 133382120 in words is "one hundred thirty-three million, three hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 619 1238 2476 3095 4952 5387 6190 10774 12380 21548 24760 26935 43096 53870 107740 215480 3334553 6669106 13338212 16672765 26676424 33345530 66691060 133382120