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135703836 = 2235149937
BaseRepresentation
bin10000001011010…
…10110100011100
3100110100110200000
420011222310130
5234220010321
621244334300
73235315002
oct1005526434
9313313600
10135703836
116a668334
1239544390
1322164a38
1414046a72
15bda8826
hex816ad1c

135703836 has 72 divisors (see below), whose sum is σ = 358503600. Its totient is φ = 44883072.

The previous prime is 135703823. The next prime is 135703837. The reversal of 135703836 is 638307531.

135703836 is a `hidden beast` number, since 1 + 3 + 570 + 3 + 83 + 6 = 666.

It is a super-2 number, since 2×1357038362 = 36831062210229792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135703836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135703837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144360 + ... + 145296.

Almost surely, 2135703836 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 135703836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179251800).

135703836 is an abundant number, since it is smaller than the sum of its proper divisors (222799764).

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

135703836 is a wasteful number, since it uses less digits than its factorization.

135703836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 135703836 is about 11649.1989424166. The cubic root of 135703836 is about 513.8827522038.

The spelling of 135703836 in words is "one hundred thirty-five million, seven hundred three thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 243 298 324 447 486 596 894 937 972 1341 1788 1874 2682 2811 3748 4023 5364 5622 8046 8433 11244 12069 16092 16866 24138 25299 33732 36207 48276 50598 72414 75897 101196 139613 144828 151794 227691 279226 303588 418839 455382 558452 837678 910764 1256517 1675356 2513034 3769551 5026068 7539102 11308653 15078204 22617306 33925959 45234612 67851918 135703836