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133328736 = 2532462947
BaseRepresentation
bin1111111001001…
…10111101100000
3100021212210122100
413330212331200
5233113004421
621121410400
73206163342
oct774467540
9307783570
10133328736
1169295942
1238799a00
1321812958
14139c9292
15ba89c26
hex7f26f60

133328736 has 36 divisors (see below), whose sum is σ = 379154412. Its totient is φ = 44442816.

The previous prime is 133328717. The next prime is 133328743. The reversal of 133328736 is 637823331.

It is a happy number.

133328736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133328736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 231186 + ... + 231761.

It is an arithmetic number, because the mean of its divisors is an integer number (10532067).

Almost surely, 2133328736 is an apocalyptic number.

133328736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133328736 is an abundant number, since it is smaller than the sum of its proper divisors (245825676).

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

133328736 is a wasteful number, since it uses less digits than its factorization.

133328736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462963 (or 462952 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 133328736 is about 11546.8063117037. The cubic root of 133328736 is about 510.8670832284.

The spelling of 133328736 in words is "one hundred thirty-three million, three hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 462947 925894 1388841 1851788 2777682 3703576 4166523 5555364 7407152 8333046 11110728 14814304 16666092 22221456 33332184 44442912 66664368 133328736