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133015512 = 23374318413
BaseRepresentation
bin1111110110110…
…10011111011000
3100021021212222110
413323122133120
5233022444022
621110552320
73203420220
oct773323730
9307255873
10133015512
11690a1583
12386686a0
1321733206
1413947080
15ba2700c
hex7eda7d8

133015512 has 64 divisors (see below), whose sum is σ = 388903680. Its totient is φ = 37118592.

The previous prime is 133015501. The next prime is 133015543. The reversal of 133015512 is 215510331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983 + ... + 16430.

It is an arithmetic number, because the mean of its divisors is an integer number (6076620).

Almost surely, 2133015512 is an apocalyptic number.

133015512 is a gapful number since it is divisible by the number (12) 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 133015512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

133015512 is an abundant number, since it is smaller than the sum of its proper divisors (255888168).

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

133015512 is a wasteful number, since it uses less digits than its factorization.

133015512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18472 (or 18468 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 133015512 is about 11533.2351055547. The cubic root of 133015512 is about 510.4667161702.

Adding to 133015512 its reverse (215510331), we get a palindrome (348525843).

The spelling of 133015512 in words is "one hundred thirty-three million, fifteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 18413 36826 55239 73652 110478 128891 147304 220956 257782 386673 441912 515564 773346 791759 1031128 1546692 1583518 2375277 3093384 3167036 4750554 5542313 6334072 9501108 11084626 16626939 19002216 22169252 33253878 44338504 66507756 133015512