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136262364 = 223753127241
BaseRepresentation
bin10000001111100…
…11001011011100
3100111101211211020
420013303023130
5234340343424
621304324140
73243132240
oct1007631334
9314354736
10136262364
116aa09a27
1239773650
13222cc024
1414150420
15be69079
hex81f32dc

136262364 has 96 divisors (see below), whose sum is σ = 374685696. Its totient is φ = 37739520.

The previous prime is 136262363. The next prime is 136262383. The reversal of 136262364 is 463262631.

136262364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136262363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565284 + ... + 565524.

It is an arithmetic number, because the mean of its divisors is an integer number (3902976).

Almost surely, 2136262364 is an apocalyptic number.

136262364 is a gapful number since it is divisible by the number (14) 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 136262364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187342848).

136262364 is an abundant number, since it is smaller than the sum of its proper divisors (238423332).

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

136262364 is a wasteful number, since it uses less digits than its factorization.

136262364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 136262364 is about 11673.1471334855. The cubic root of 136262364 is about 514.5867977293.

The spelling of 136262364 in words is "one hundred thirty-six million, two hundred sixty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 127 159 212 241 254 318 371 381 482 508 636 723 742 762 889 964 1113 1446 1484 1524 1687 1778 2226 2667 2892 3374 3556 4452 5061 5334 6731 6748 10122 10668 12773 13462 20193 20244 25546 26924 30607 38319 40386 47117 51092 61214 76638 80772 89411 91821 94234 122428 141351 153276 178822 183642 188468 214249 268233 282702 357644 367284 428498 536466 565404 642747 856996 1072932 1285494 1622171 2570988 3244342 4866513 6488684 9733026 11355197 19466052 22710394 34065591 45420788 68131182 136262364