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133052088 = 233132511699
BaseRepresentation
bin1111110111000…
…11011010111000
3100021100202011010
413323203122320
5233030131323
621111433520
73203631651
oct773433270
9307322133
10133052088
1169117004
12386858a0
1321746a60
1413956528
15ba32c93
hex7ee36b8

133052088 has 64 divisors (see below), whose sum is σ = 359856000. Its totient is φ = 40752000.

The previous prime is 133052069. The next prime is 133052089. The reversal of 133052088 is 880250331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133052089) 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 15 ways as a sum of consecutive naturals, for example, 77463 + ... + 79161.

It is an arithmetic number, because the mean of its divisors is an integer number (5622750).

Almost surely, 2133052088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133052088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179928000).

133052088 is an abundant number, since it is smaller than the sum of its proper divisors (226803912).

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

133052088 is a wasteful number, since it uses less digits than its factorization.

133052088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 133052088 is about 11534.8206748089. The cubic root of 133052088 is about 510.5135004870.

The spelling of 133052088 in words is "one hundred thirty-three million, fifty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 251 312 502 753 1004 1506 1699 2008 3012 3263 3398 5097 6024 6526 6796 9789 10194 13052 13592 19578 20388 22087 26104 39156 40776 44174 66261 78312 88348 132522 176696 265044 426449 530088 852898 1279347 1705796 2558694 3411592 5117388 5543837 10234776 11087674 16631511 22175348 33263022 44350696 66526044 133052088