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135656880 = 2435565237
BaseRepresentation
bin10000001010111…
…11010110110000
3100110021002020220
420011133112300
5234212010010
621243333040
73235031052
oct1005372660
9313232226
10135656880
116a636027
1239521180
1322149558
14140338d2
15bd99970
hex815f5b0

135656880 has 40 divisors (see below), whose sum is σ = 420537072. Its totient is φ = 36175104.

The previous prime is 135656869. The next prime is 135656881. The reversal of 135656880 is 88656531.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (135656881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282379 + ... + 282858.

Almost surely, 2135656880 is an apocalyptic number.

135656880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135656880 is an abundant number, since it is smaller than the sum of its proper divisors (284880192).

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

135656880 is a wasteful number, since it uses less digits than its factorization.

135656880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565253 (or 565247 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 135656880 is about 11647.1833504929. The cubic root of 135656880 is about 513.8234744342.

The spelling of 135656880 in words is "one hundred thirty-five million, six hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 565237 1130474 1695711 2260948 2826185 3391422 4521896 5652370 6782844 8478555 9043792 11304740 13565688 16957110 22609480 27131376 33914220 45218960 67828440 135656880