Search a number
-
+
135706536 = 2333789753
BaseRepresentation
bin10000001011010…
…11011110101000
3100110100121101000
420011223132220
5234220102121
621244355000
73235325610
oct1005533650
9313317330
10135706536
116a66a369
1239545a60
1322166034
1414047a40
15bda9526
hex816b7a8

135706536 has 64 divisors (see below), whose sum is σ = 430819200. Its totient is φ = 38772864.

The previous prime is 135706511. The next prime is 135706547. The reversal of 135706536 is 635607531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135706536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43365 + ... + 46388.

It is an arithmetic number, because the mean of its divisors is an integer number (6731550).

Almost surely, 2135706536 is an apocalyptic number.

It is an amenable number.

135706536 is an abundant number, since it is smaller than the sum of its proper divisors (295112664).

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

135706536 is a wasteful number, since it uses less digits than its factorization.

135706536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89775 (or 89765 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 135706536 is about 11649.3148296370. The cubic root of 135706536 is about 513.8861602976.

The spelling of 135706536 in words is "one hundred thirty-five million, seven hundred six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 89753 179506 269259 359012 538518 628271 718024 807777 1077036 1256542 1615554 1884813 2154072 2423331 2513084 3231108 3769626 4846662 5026168 5654439 6462216 7539252 9693324 11308878 15078504 16963317 19386648 22617756 33926634 45235512 67853268 135706536