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133189960 = 2357345613
BaseRepresentation
bin1111111000001…
…01000101001000
3100021121202021111
413330011011020
5233044034320
621114420104
73205044631
oct774050510
9307552244
10133189960
1169200652
1238731634
1321794737
1413990888
15ba5da5a
hex7f05148

133189960 has 32 divisors (see below), whose sum is σ = 303789240. Its totient is φ = 52545024.

The previous prime is 133189957. The next prime is 133189967. The reversal of 133189960 is 69981331.

It can be written as a sum of positive squares in 4 ways, for example, as 72692676 + 60497284 = 8526^2 + 7778^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (133189967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19887 + ... + 25726.

Almost surely, 2133189960 is an apocalyptic number.

133189960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133189960 is an abundant number, since it is smaller than the sum of its proper divisors (170599280).

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

133189960 is a wasteful number, since it uses less digits than its factorization.

133189960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45697 (or 45693 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 133189960 is about 11540.7954665179. The cubic root of 133189960 is about 510.6897753595.

The spelling of 133189960 in words is "one hundred thirty-three million, one hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 45613 91226 182452 228065 364904 456130 912260 1824520 3329749 6659498 13318996 16648745 26637992 33297490 66594980 133189960