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135379560 = 23351959377
BaseRepresentation
bin10000001000110…
…11101001101000
3100102201222211210
420010123221220
5234124121220
621233353120
73232464411
oct1004335150
9312658753
10135379560
116a466738
12394087a0
1322080264
1413da0808
15bd426e0
hex811ba68

135379560 has 64 divisors (see below), whose sum is σ = 427521600. Its totient is φ = 34200576.

The previous prime is 135379553. The next prime is 135379561. The reversal of 135379560 is 65973531.

It is not an unprimeable number, because it can be changed into a prime (135379561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27409 + ... + 31968.

It is an arithmetic number, because the mean of its divisors is an integer number (6680025).

Almost surely, 2135379560 is an apocalyptic number.

135379560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135379560 is an abundant number, since it is smaller than the sum of its proper divisors (292142040).

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

135379560 is a wasteful number, since it uses less digits than its factorization.

135379560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59410 (or 59406 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The square root of 135379560 is about 11635.2722357494. The cubic root of 135379560 is about 513.4731033729.

The spelling of 135379560 in words is "one hundred thirty-five million, three hundred seventy-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 59377 118754 178131 237508 296885 356262 475016 593770 712524 890655 1128163 1187540 1425048 1781310 2256326 2375080 3384489 3562620 4512652 5640815 6768978 7125240 9025304 11281630 13537956 16922445 22563260 27075912 33844890 45126520 67689780 135379560