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133355640 = 233511101027
BaseRepresentation
bin1111111001011…
…01100001111000
3100021221011112210
413330231201320
5233114340030
621122135120
73206334645
oct774554170
9307834483
10133355640
1169304080
12387b14a0
1321821c82
14139d4dcc
15ba92bb0
hex7f2d878

133355640 has 64 divisors (see below), whose sum is σ = 436440960. Its totient is φ = 32328320.

The previous prime is 133355617. The next prime is 133355669. The reversal of 133355640 is 46553331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133355598 and 133355607.

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, 49194 + ... + 51833.

It is an arithmetic number, because the mean of its divisors is an integer number (6819390).

Almost surely, 2133355640 is an apocalyptic number.

133355640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133355640 is an abundant number, since it is smaller than the sum of its proper divisors (303085320).

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

133355640 is a wasteful number, since it uses less digits than its factorization.

133355640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101052 (or 101048 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 133355640 is about 11547.9712503972. The cubic root of 133355640 is about 510.9014430222.

The spelling of 133355640 in words is "one hundred thirty-three million, three hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 101027 202054 303081 404108 505135 606162 808216 1010270 1111297 1212324 1515405 2020540 2222594 2424648 3030810 3333891 4041080 4445188 5556485 6061620 6667782 8890376 11112970 12123240 13335564 16669455 22225940 26671128 33338910 44451880 66677820 133355640