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133420752 = 2432926533
BaseRepresentation
bin1111111001111…
…01011011010000
3100022001110212100
413330331123100
5233123431002
621123400400
73210025533
oct774753320
9308043770
10133420752
1169348a93
1238823100
13218457ba
1413a10a1a
15baa711c
hex7f3d6d0

133420752 has 30 divisors (see below), whose sum is σ = 373393202. Its totient is φ = 44473536.

The previous prime is 133420751. The next prime is 133420753. The reversal of 133420752 is 257024331.

It is an interprime number because it is at equal distance from previous prime (133420751) and next prime (133420753).

It can be written as a sum of positive squares in only one way, i.e., 133263936 + 156816 = 11544^2 + 396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133420751) 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 5 ways as a sum of consecutive naturals, for example, 463123 + ... + 463410.

Almost surely, 2133420752 is an apocalyptic number.

133420752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133420752 is an abundant number, since it is smaller than the sum of its proper divisors (239972450).

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

133420752 is a wasteful number, since it uses less digits than its factorization.

133420752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926547 (or 926538 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 133420752 is about 11550.7901028458. The cubic root of 133420752 is about 510.9845801187.

The spelling of 133420752 in words is "one hundred thirty-three million, four hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 926533 1853066 2779599 3706132 5559198 7412264 8338797 11118396 14824528 16677594 22236792 33355188 44473584 66710376 133420752