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133980624 = 24326431447
BaseRepresentation
bin1111111110001…
…10000111010000
3100100002220212100
413333012013100
5233244334444
621143400400
73214550031
oct777060720
9310086770
10133980624
11696a0698
1238a53100
13219b059b
1413b18a88
15bb67e69
hex7fc61d0

133980624 has 60 divisors (see below), whose sum is σ = 375802336. Its totient is φ = 44559936.

The previous prime is 133980607. The next prime is 133980659. The reversal of 133980624 is 426089331.

It is a Cunningham number, because it is equal to 115752-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91869 + ... + 93315.

Almost surely, 2133980624 is an apocalyptic number.

It is an amenable number.

133980624 is an abundant number, since it is smaller than the sum of its proper divisors (241821712).

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

133980624 is a wasteful number, since it uses less digits than its factorization.

133980624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 133980624 is about 11574.9999568035. Note that the first 4 decimals coincide. The cubic root of 133980624 is about 511.6983289631.

The spelling of 133980624 in words is "one hundred thirty-three million, nine hundred eighty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 643 1286 1447 1929 2572 2894 3858 4341 5144 5787 5788 7716 8682 10288 11574 11576 13023 15432 17364 23148 23152 26046 30864 34728 46296 52092 69456 92592 104184 208368 930421 1860842 2791263 3721684 5582526 7443368 8373789 11165052 14886736 16747578 22330104 33495156 44660208 66990312 133980624