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135822560 = 2553722943
BaseRepresentation
bin10000001100001…
…11110011100000
3100110120111112012
420012013303200
5234232310220
621251052052
73236321066
oct1006076340
9313514465
10135822560
116a739555
12395a1028
13221a6aa3
1414078036
15bdcdac5
hex8187ce0

135822560 has 48 divisors (see below), whose sum is σ = 329567616. Its totient is φ = 52858368.

The previous prime is 135822553. The next prime is 135822593. The reversal of 135822560 is 65228531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5552 + ... + 17391.

It is an arithmetic number, because the mean of its divisors is an integer number (6865992).

Almost surely, 2135822560 is an apocalyptic number.

135822560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135822560 is an abundant number, since it is smaller than the sum of its proper divisors (193745056).

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

135822560 is a wasteful number, since it uses less digits than its factorization.

135822560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22995 (or 22987 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 135822560 is about 11654.2936293883. The cubic root of 135822560 is about 514.0325697137.

The spelling of 135822560 in words is "one hundred thirty-five million, eight hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 22943 45886 91772 114715 183544 229430 367088 458860 734176 848891 917720 1697782 1835440 3395564 3670880 4244455 6791128 8488910 13582256 16977820 27164512 33955640 67911280 135822560