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135658432 = 2671323293
BaseRepresentation
bin10000001010111…
…11101111000000
3100110021011101101
420011133233000
5234212032212
621243344144
73235035430
oct1005375700
9313234341
10135658432
116a637208
1239522054
132214a180
14140342c0
15bd9a157
hex815fbc0

135658432 has 56 divisors (see below), whose sum is σ = 331333856. Its totient is φ = 53664768.

The previous prime is 135658427. The next prime is 135658447. The reversal of 135658432 is 234856531.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 135658391 and 135658400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5823 + ... + 17470.

It is an arithmetic number, because the mean of its divisors is an integer number (5916676).

Almost surely, 2135658432 is an apocalyptic number.

135658432 is the 5824-th decagonal number.

It is an amenable number.

135658432 is an abundant number, since it is smaller than the sum of its proper divisors (195675424).

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

135658432 is a wasteful number, since it uses less digits than its factorization.

135658432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23325 (or 23315 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 135658432 is about 11647.2499758527. The cubic root of 135658432 is about 513.8254339145.

The spelling of 135658432 in words is "one hundred thirty-five million, six hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 23293 46586 93172 163051 186344 302809 326102 372688 605618 652204 745376 1211236 1304408 1490752 2119663 2422472 2608816 4239326 4844944 5217632 8478652 9689888 10435264 16957304 19379776 33914608 67829216 135658432