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133943040 = 28325711151
BaseRepresentation
bin1111111101111…
…00111100000000
3100100001000022100
413332330330000
5233242134130
621142510400
73214332330
oct776747400
9310030270
10133943040
1169675430
1238a35400
132199944a
1413b090c0
15bb5bc60
hex7fbcf00

133943040 has 432 divisors, whose sum is σ = 581607936. Its totient is φ = 27648000.

The previous prime is 133942973. The next prime is 133943087. The reversal of 133943040 is 40349331.

It is a junction number, because it is equal to n+sod(n) for n = 133942995 and 133943013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886965 + ... + 887115.

Almost surely, 2133943040 is an apocalyptic number.

133943040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290803968).

133943040 is an abundant number, since it is smaller than the sum of its proper divisors (447664896).

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

133943040 is a wasteful number, since it uses less digits than its factorization.

133943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 133943040 is about 11573.3763440061. The cubic root of 133943040 is about 511.6504775948.

The spelling of 133943040 in words is "one hundred thirty-three million, nine hundred forty-three thousand, forty".