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135426560 = 29552901
BaseRepresentation
bin10000001001001…
…11001000000000
3100102211101022112
420010213020000
5234132122220
621234354452
73233051423
oct1004471000
9312741275
10135426560
116a498a85
123942ba28
1322098779
1413db39ba
15bd515c5
hex8127200

135426560 has 40 divisors (see below), whose sum is σ = 324712476. Its totient is φ = 54169600.

The previous prime is 135426523. The next prime is 135426589. The reversal of 135426560 is 65624531.

It can be written as a sum of positive squares in 2 ways, for example, as 122235136 + 13191424 = 11056^2 + 3632^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23891 + ... + 29010.

Almost surely, 2135426560 is an apocalyptic number.

135426560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135426560 is an abundant number, since it is smaller than the sum of its proper divisors (189285916).

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

135426560 is an frugal number, since it uses more digits than its factorization.

135426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52924 (or 52908 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 135426560 is about 11637.2917811663. The cubic root of 135426560 is about 513.5325176686.

It can be divided in two parts, 13542 and 6560, that added together give a palindrome (20102).

The spelling of 135426560 in words is "one hundred thirty-five million, four hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 52901 105802 211604 264505 423208 529010 846416 1058020 1692832 2116040 3385664 4232080 6771328 8464160 13542656 16928320 27085312 33856640 67713280 135426560