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135056320 = 265760293
BaseRepresentation
bin10000000110011…
…00101111000000
3100102010120102221
420003030233000
5234033300240
621222420424
73226650130
oct1003145700
9312116387
10135056320
116a2658a3
1239291714
1321c990a9
1413d18ac0
15bccba4a
hex80ccbc0

135056320 has 56 divisors (see below), whose sum is σ = 367552224. Its totient is φ = 46304256.

The previous prime is 135056309. The next prime is 135056329. The reversal of 135056320 is 23650531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135056329) 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, 27907 + ... + 32386.

Almost surely, 2135056320 is an apocalyptic number.

135056320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135056320 is an abundant number, since it is smaller than the sum of its proper divisors (232495904).

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

135056320 is an equidigital number, since it uses as much as digits as its factorization.

135056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60317 (or 60307 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 135056320 is about 11621.3734128114. The cubic root of 135056320 is about 513.0641117482.

The spelling of 135056320 in words is "one hundred thirty-five million, fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 60293 120586 241172 301465 422051 482344 602930 844102 964688 1205860 1688204 1929376 2110255 2411720 3376408 3858752 4220510 4823440 6752816 8441020 9646880 13505632 16882040 19293760 27011264 33764080 67528160 135056320