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135466980 = 223511205253
BaseRepresentation
bin10000001001100…
…00111111100100
3100102220102202120
420010300333210
5234134420410
621235305540
73233310315
oct1004607744
9312812676
10135466980
116a516390
123944b2b0
13220b0c9c
1413dc460c
15bd5d570
hex8130fe4

135466980 has 48 divisors (see below), whose sum is σ = 413792064. Its totient is φ = 32840320.

The previous prime is 135466973. The next prime is 135467041. The reversal of 135466980 is 89664531.

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, 101967 + ... + 103286.

It is an arithmetic number, because the mean of its divisors is an integer number (8620668).

Almost surely, 2135466980 is an apocalyptic number.

135466980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135466980 is an abundant number, since it is smaller than the sum of its proper divisors (278325084).

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

135466980 is a wasteful number, since it uses less digits than its factorization.

135466980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205276 (or 205274 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 135466980 is about 11639.0283099578. The cubic root of 135466980 is about 513.5836029693.

The spelling of 135466980 in words is "one hundred thirty-five million, four hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 205253 410506 615759 821012 1026265 1231518 2052530 2257783 2463036 3078795 4105060 4515566 6157590 6773349 9031132 11288915 12315180 13546698 22577830 27093396 33866745 45155660 67733490 135466980