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135664410 = 23571135717
BaseRepresentation
bin10000001011000…
…01001100011010
3100110021110120210
420011201030122
5234212230120
621243431550
73235062030
oct1005411432
9313243523
10135664410
116a640752
12395255b6
132214cacb
1414036550
15bd9bce0
hex816131a

135664410 has 64 divisors (see below), whose sum is σ = 375466752. Its totient is φ = 30729216.

The previous prime is 135664393. The next prime is 135664433. The reversal of 135664410 is 14466531.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20872 + ... + 26588.

It is an arithmetic number, because the mean of its divisors is an integer number (5866668).

Almost surely, 2135664410 is an apocalyptic number.

135664410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135664410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187733376).

135664410 is an abundant number, since it is smaller than the sum of its proper divisors (239802342).

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

135664410 is a wasteful number, since it uses less digits than its factorization.

135664410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 135664410 is about 11647.5066001269. The cubic root of 135664410 is about 513.8329813096.

The spelling of 135664410 in words is "one hundred thirty-five million, six hundred sixty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 678 791 1130 1582 1695 2373 3390 3955 4746 5717 7910 11434 11865 17151 23730 28585 34302 40019 57170 80038 85755 120057 171510 200095 240114 400190 600285 646021 1200570 1292042 1938063 3230105 3876126 4522147 6460210 9044294 9690315 13566441 19380630 22610735 27132882 45221470 67832205 135664410