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135584364 = 22329573821
BaseRepresentation
bin10000001010011…
…01101001101100
3100110010101210010
420011031221230
5234202144424
621242013220
73234306456
oct1005155154
9313111703
10135584364
116a5965a3
12394a7210
1322122546
14140152d6
15bd83229
hex814da6c

135584364 has 24 divisors (see below), whose sum is σ = 316553328. Its totient is φ = 45167680.

The previous prime is 135584363. The next prime is 135584377. The reversal of 135584364 is 463485531.

It is a super-2 number, since 2×1355843642 = 36766239522568992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135584363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33574 + ... + 37394.

It is an arithmetic number, because the mean of its divisors is an integer number (13189722).

Almost surely, 2135584364 is an apocalyptic number.

It is an amenable number.

135584364 is an abundant number, since it is smaller than the sum of its proper divisors (180968964).

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

135584364 is a wasteful number, since it uses less digits than its factorization.

135584364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6785 (or 6783 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 135584364 is about 11644.0699070385. The cubic root of 135584364 is about 513.7319025599.

The spelling of 135584364 in words is "one hundred thirty-five million, five hundred eighty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 2957 3821 5914 7642 8871 11463 11828 15284 17742 22926 35484 45852 11298697 22597394 33896091 45194788 67792182 135584364