Search a number
-
+
135035660 = 22519259317
BaseRepresentation
bin10000000110001…
…11101100001100
3100102002112002202
420003013230030
5234032120120
621222141032
73226532654
oct1003075414
9312075082
10135035660
116a251321
1239281778
1321c8c876
1413d11364
15bcc5875
hex80c7b0c

135035660 has 72 divisors (see below), whose sum is σ = 305318160. Its totient is φ = 50145408.

The previous prime is 135035657. The next prime is 135035689. The reversal of 135035660 is 66530531.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 425822 + ... + 426138.

It is an arithmetic number, because the mean of its divisors is an integer number (4240530).

Almost surely, 2135035660 is an apocalyptic number.

135035660 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 135035660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152659080).

135035660 is an abundant number, since it is smaller than the sum of its proper divisors (170282500).

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

135035660 is a wasteful number, since it uses less digits than its factorization.

135035660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 135035660 is about 11620.4844993658. The cubic root of 135035660 is about 513.0379487245.

The spelling of 135035660 in words is "one hundred thirty-five million, thirty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 295 317 361 380 590 634 722 1121 1180 1268 1444 1585 1805 2242 3170 3610 4484 5605 6023 6340 7220 11210 12046 18703 21299 22420 24092 30115 37406 42598 60230 74812 85196 93515 106495 114437 120460 187030 212990 228874 355357 374060 425980 457748 572185 710714 1144370 1421428 1776785 2288740 3553570 6751783 7107140 13503566 27007132 33758915 67517830 135035660