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135816360 = 23354326321
BaseRepresentation
bin10000001100001…
…10010010101000
3100110120012000120
420012012102220
5234232110420
621251003240
73236264031
oct1006062250
9313505016
10135816360
116a734929
1239599520
13221a4014
1414075a88
15bdcbd40
hex81864a8

135816360 has 64 divisors (see below), whose sum is σ = 416940480. Its totient is φ = 35374080.

The previous prime is 135816353. The next prime is 135816377. The reversal of 135816360 is 63618531.

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, 8001 + ... + 18320.

It is an arithmetic number, because the mean of its divisors is an integer number (6514695).

Almost surely, 2135816360 is an apocalyptic number.

135816360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135816360 is an abundant number, since it is smaller than the sum of its proper divisors (281124120).

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

135816360 is a wasteful number, since it uses less digits than its factorization.

135816360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26378 (or 26374 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 135816360 is about 11654.0276299655. The cubic root of 135816360 is about 514.0247481107.

The spelling of 135816360 in words is "one hundred thirty-five million, eight hundred sixteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 26321 52642 78963 105284 131605 157926 210568 263210 315852 394815 526420 631704 789630 1052840 1131803 1579260 2263606 3158520 3395409 4527212 5659015 6790818 9054424 11318030 13581636 16977045 22636060 27163272 33954090 45272120 67908180 135816360