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133364052 = 22325876311
BaseRepresentation
bin1111111001011…
…11100101010100
3100021221121002100
413330233211110
5233120122202
621122242100
73206401323
oct774574524
9307847070
10133364052
116930a428
12387b6330
1321825a53
14139d80ba
15ba9541c
hex7f2f954

133364052 has 36 divisors (see below), whose sum is σ = 337742496. Its totient is φ = 44371920.

The previous prime is 133364009. The next prime is 133364053. The reversal of 133364052 is 250463331.

It is a happy number.

133364052 is a `hidden beast` number, since 13 + 3 + 3 + 640 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133364053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17977 + ... + 24287.

It is an arithmetic number, because the mean of its divisors is an integer number (9381736).

Almost surely, 2133364052 is an apocalyptic number.

133364052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133364052 is an abundant number, since it is smaller than the sum of its proper divisors (204378444).

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

133364052 is a wasteful number, since it uses less digits than its factorization.

133364052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 133364052 is about 11548.3354644728. The cubic root of 133364052 is about 510.9121852565.

The spelling of 133364052 in words is "one hundred thirty-three million, three hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 587 1174 1761 2348 3522 5283 6311 7044 10566 12622 18933 21132 25244 37866 56799 75732 113598 227196 3704557 7409114 11113671 14818228 22227342 33341013 44454684 66682026 133364052