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133633140 = 22355342023
BaseRepresentation
bin1111111011100…
…01010001110100
3100022110021012120
413331301101310
5233202230030
621132115540
73211601664
oct775612164
9308407176
10133633140
1169483613
1238905bb0
13218bb384
1413a681a4
15baea010
hex7f71474

133633140 has 48 divisors (see below), whose sum is σ = 381241728. Its totient is φ = 34962304.

The previous prime is 133633139. The next prime is 133633169. The reversal of 133633140 is 41336331.

It is a super-2 number, since 2×1336331402 = 35715632212519200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133633140.

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, 17832 + ... + 24191.

It is an arithmetic number, because the mean of its divisors is an integer number (7942536).

Almost surely, 2133633140 is an apocalyptic number.

133633140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133633140 is an abundant number, since it is smaller than the sum of its proper divisors (247608588).

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

133633140 is a wasteful number, since it uses less digits than its factorization.

133633140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42088 (or 42086 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 133633140 is about 11559.9801037891. The cubic root of 133633140 is about 511.2555760855.

Adding to 133633140 its reverse (41336331), we get a palindrome (174969471).

The spelling of 133633140 in words is "one hundred thirty-three million, six hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 42023 84046 126069 168092 210115 252138 420230 504276 630345 840460 1260690 2227219 2521380 4454438 6681657 8908876 11136095 13363314 22272190 26726628 33408285 44544380 66816570 133633140