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136841936 = 24711313583
BaseRepresentation
bin10000010100000…
…00101011010000
3100112111021211212
420022000223100
5240012420221
621324555252
73251065040
oct1012005320
9315437755
10136841936
1170275410
12399b2b28
1322472a7a
1414261720
15c030b5b
hex8280ad0

136841936 has 80 divisors (see below), whose sum is σ = 341311488. Its totient is φ = 51580800.

The previous prime is 136841917. The next prime is 136841941. The reversal of 136841936 is 639148631.

It is a junction number, because it is equal to n+sod(n) for n = 136841893 and 136841902.

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, 36401 + ... + 39983.

Almost surely, 2136841936 is an apocalyptic number.

136841936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136841936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170655744).

136841936 is an abundant number, since it is smaller than the sum of its proper divisors (204469552).

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

136841936 is a wasteful number, since it uses less digits than its factorization.

136841936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3634 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 136841936 is about 11697.9458025758. The cubic root of 136841936 is about 515.3153389712.

The spelling of 136841936 in words is "one hundred thirty-six million, eight hundred forty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 616 682 868 1232 1364 1736 2387 2728 3472 3583 4774 5456 7166 9548 14332 19096 25081 28664 38192 39413 50162 57328 78826 100324 111073 157652 200648 222146 275891 315304 401296 444292 551782 630608 777511 888584 1103564 1221803 1555022 1777168 2207128 2443606 3110044 4414256 4887212 6220088 8552621 9774424 12440176 17105242 19548848 34210484 68420968 136841936