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136241920 = 285163653
BaseRepresentation
bin10000001111011…
…10001100000000
3100111100210210001
420013232030000
5234334220140
621304045344
73243015523
oct1007561400
9314323701
10136241920
116a9a5631
1239763854
13222c2929
1414146bba
15be62e9a
hex81ee300

136241920 has 72 divisors (see below), whose sum is σ = 328846896. Its totient is φ = 54079488.

The previous prime is 136241891. The next prime is 136241999. The reversal of 136241920 is 29142631.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208314 + ... + 208966.

It is an arithmetic number, because the mean of its divisors is an integer number (4567318).

Almost surely, 2136241920 is an apocalyptic number.

136241920 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 136241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164423448).

136241920 is an abundant number, since it is smaller than the sum of its proper divisors (192604976).

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

136241920 is an equidigital number, since it uses as much as digits as its factorization.

136241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 136241920 is about 11672.2714156243. The cubic root of 136241920 is about 514.5610612545.

The spelling of 136241920 in words is "one hundred thirty-six million, two hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 256 320 326 640 652 653 815 1280 1304 1306 1630 2608 2612 3260 3265 5216 5224 6520 6530 10432 10448 13040 13060 20864 20896 26080 26120 41728 41792 52160 52240 83584 104320 104480 106439 167168 208640 208960 212878 417920 425756 532195 835840 851512 1064390 1703024 2128780 3406048 4257560 6812096 8515120 13624192 17030240 27248384 34060480 68120960 136241920