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133050720 = 253511113223
BaseRepresentation
bin1111110111000…
…11000101100000
3100021100200021110
413323203011200
5233030110340
621111423320
73203624655
oct773430540
9307320243
10133050720
1169115a80
1238684b40
132174624a
1413955c2c
15ba32680
hex7ee3160

133050720 has 192 divisors, whose sum is σ = 463325184. Its totient is φ = 31825920.

The previous prime is 133050719. The next prime is 133050727. The reversal of 133050720 is 27050331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133050727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596529 + ... + 596751.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2133050720 is an apocalyptic number.

133050720 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 133050720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592).

133050720 is an abundant number, since it is smaller than the sum of its proper divisors (330274464).

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

133050720 is a wasteful number, since it uses less digits than its factorization.

133050720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 133050720 is about 11534.7613759453. The cubic root of 133050720 is about 510.5117508342.

The spelling of 133050720 in words is "one hundred thirty-three million, fifty thousand, seven hundred twenty".