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136172460 = 223531179409
BaseRepresentation
bin10000001110111…
…01001110101100
3100111020021111110
420013131032230
5234330004320
621302352020
73242306154
oct1007351654
9314207443
10136172460
116a958426
123972b610
132229a128
1414129764
15be4c5e0
hex81dd3ac

136172460 has 96 divisors (see below), whose sum is σ = 396748800. Its totient is φ = 34859520.

The previous prime is 136172459. The next prime is 136172461. The reversal of 136172460 is 64271631.

136172460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136172459) and next prime (136172461).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (136172461) 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, 332736 + ... + 333144.

It is an arithmetic number, because the mean of its divisors is an integer number (4132800).

Almost surely, 2136172460 is an apocalyptic number.

136172460 is a gapful number since it is divisible by the number (10) 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 136172460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374400).

136172460 is an abundant number, since it is smaller than the sum of its proper divisors (260576340).

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

136172460 is a wasteful number, since it uses less digits than its factorization.

136172460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 136172460 is about 11669.2956085618. The cubic root of 136172460 is about 514.4736004421.

The spelling of 136172460 in words is "one hundred thirty-six million, one hundred seventy-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 179 186 310 358 372 409 465 537 620 716 818 895 930 1074 1227 1636 1790 1860 2045 2148 2454 2685 3580 4090 4908 5370 5549 6135 8180 10740 11098 12270 12679 16647 22196 24540 25358 27745 33294 38037 50716 55490 63395 66588 73211 76074 83235 110980 126790 146422 152148 166470 190185 219633 253580 292844 332940 366055 380370 439266 732110 760740 878532 1098165 1464220 2196330 2269541 4392660 4539082 6808623 9078164 11347705 13617246 22695410 27234492 34043115 45390820 68086230 136172460