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136005960 = 23351577219
BaseRepresentation
bin10000001101101…
…00100101001000
3100110220211002210
420012310211020
5234304142320
621255025120
73241013556
oct1006644510
9313824083
10136005960
116a854322
123966b1a0
132223c3cc
14140c4bd6
15be180e0
hex81b4948

136005960 has 64 divisors (see below), whose sum is σ = 410673600. Its totient is φ = 36032256.

The previous prime is 136005937. The next prime is 136005977. The reversal of 136005960 is 69500631.

It is a happy number.

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

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, 15231 + ... + 22449.

It is an arithmetic number, because the mean of its divisors is an integer number (6416775).

Almost surely, 2136005960 is an apocalyptic number.

136005960 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 136005960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205336800).

136005960 is an abundant number, since it is smaller than the sum of its proper divisors (274667640).

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

136005960 is a wasteful number, since it uses less digits than its factorization.

136005960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7390 (or 7386 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 136005960 is about 11662.1593197829. The cubic root of 136005960 is about 514.2638301975.

The spelling of 136005960 in words is "one hundred thirty-six million, five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 7219 9420 14438 18840 21657 28876 36095 43314 57752 72190 86628 108285 144380 173256 216570 288760 433140 866280 1133383 2266766 3400149 4533532 5666915 6800298 9067064 11333830 13600596 17000745 22667660 27201192 34001490 45335320 68002980 136005960