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135584106 = 23729111317
BaseRepresentation
bin10000001010011…
…01100101101010
3100110010101102120
420011031211222
5234202142411
621242012110
73234305640
oct1005154552
9313111376
10135584106
116a596389
12394a7036
13221223a8
1414015190
15bd83106
hex814d96a

135584106 has 32 divisors (see below), whose sum is σ = 320595840. Its totient is φ = 37402176.

The previous prime is 135584093. The next prime is 135584147. The reversal of 135584106 is 601485531.

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, 54441 + ... + 56876.

It is an arithmetic number, because the mean of its divisors is an integer number (10018620).

Almost surely, 2135584106 is an apocalyptic number.

135584106 is an abundant number, since it is smaller than the sum of its proper divisors (185011734).

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

135584106 is a wasteful number, since it uses less digits than its factorization.

135584106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111358.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 135584106 is about 11644.0588284326. The cubic root of 135584106 is about 513.7315767039.

The spelling of 135584106 in words is "one hundred thirty-five million, five hundred eighty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 111317 222634 333951 667902 779219 1558438 2337657 3228193 4675314 6456386 9684579 19369158 22597351 45194702 67792053 135584106