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136095232 = 2971323127
BaseRepresentation
bin10000001110010…
…10011000000000
3100111002100120011
420013022120000
5234320021412
621300554304
73241535050
oct1007123000
9314070504
10136095232
116a9053a9
12396b2994
1322270c30
1414109560
15be347a7
hex81ca600

136095232 has 160 divisors (see below), whose sum is σ = 351977472. Its totient is φ = 51093504.

The previous prime is 136095229. The next prime is 136095257. The reversal of 136095232 is 232590631.

It is a junction number, because it is equal to n+sod(n) for n = 136095194 and 136095203.

It is a congruent number.

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, 1071553 + ... + 1071679.

Almost surely, 2136095232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136095232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988736).

136095232 is an abundant number, since it is smaller than the sum of its proper divisors (215882240).

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

136095232 is a wasteful number, since it uses less digits than its factorization.

136095232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 136095232 is about 11665.9861134839. The cubic root of 136095232 is about 514.3763236000.

The spelling of 136095232 in words is "one hundred thirty-six million, ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 127 128 161 182 184 208 224 254 256 299 322 364 368 416 448 508 512 598 644 728 736 832 889 896 1016 1196 1288 1456 1472 1651 1664 1778 1792 2032 2093 2392 2576 2912 2921 2944 3302 3328 3556 3584 4064 4186 4784 5152 5824 5842 5888 6604 6656 7112 8128 8372 9568 10304 11557 11648 11684 11776 13208 14224 16256 16744 19136 20447 20608 23114 23296 23368 26416 28448 32512 33488 37973 38272 40894 41216 46228 46592 46736 52832 56896 65024 66976 75946 76544 81788 82432 92456 93472 105664 113792 133952 151892 153088 163576 184912 186944 211328 227584 265811 267904 303784 327152 369824 373888 422656 455168 531622 535808 607568 654304 739648 747776 845312 1063244 1071616 1215136 1308608 1479296 1495552 2126488 2430272 2617216 2958592 4252976 4860544 5234432 5917184 8505952 9721088 10468864 17011904 19442176 34023808 68047616 136095232