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133408500 = 223531931151
BaseRepresentation
bin1111111001110…
…10011011110100
3100022000212001120
413330322123310
5233123033000
621123223540
73206645031
oct774723364
9308025046
10133408500
116933a865
1238817bb0
1321840054
1413a0a388
15baa36a0
hex7f3a6f4

133408500 has 192 divisors, whose sum is σ = 424919040. Its totient is φ = 32400000.

The previous prime is 133408493. The next prime is 133408501. The reversal of 133408500 is 5804331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133408501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 883425 + ... + 883575.

It is an arithmetic number, because the mean of its divisors is an integer number (2213120).

Almost surely, 2133408500 is an apocalyptic number.

133408500 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 133408500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212459520).

133408500 is an abundant number, since it is smaller than the sum of its proper divisors (291510540).

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

133408500 is a wasteful number, since it uses less digits than its factorization.

133408500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 133408500 is about 11550.2597373392. The cubic root of 133408500 is about 510.9689384372.

The spelling of 133408500 in words is "one hundred thirty-three million, four hundred eight thousand, five hundred".