Search a number
-
+
135798696 = 233211277619
BaseRepresentation
bin10000001100000…
…01111110101000
3100110112021210100
420012001332220
5234231024241
621250345400
73236161365
oct1006017650
9313467710
10135798696
116a722630
123958b260
1322198c77
141406d46c
15bdc69b6
hex8181fa8

135798696 has 96 divisors (see below), whose sum is σ = 403322400. Its totient is φ = 40936320.

The previous prime is 135798673. The next prime is 135798697. The reversal of 135798696 is 696897531.

135798696 is a `hidden beast` number, since 1 + 3 + 579 + 8 + 69 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (135798697) 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 23 ways as a sum of consecutive naturals, for example, 219075 + ... + 219693.

It is an arithmetic number, because the mean of its divisors is an integer number (4201275).

Almost surely, 2135798696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135798696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201661200).

135798696 is an abundant number, since it is smaller than the sum of its proper divisors (267523704).

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

135798696 is a wasteful number, since it uses less digits than its factorization.

135798696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 912 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 135798696 is about 11653.2697557381. The cubic root of 135798696 is about 514.0024628062.

The spelling of 135798696 in words is "one hundred thirty-five million, seven hundred ninety-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 277 396 554 619 792 831 1108 1238 1662 1857 2216 2476 2493 3047 3324 3714 4952 4986 5571 6094 6648 6809 7428 9141 9972 11142 12188 13618 14856 18282 19944 20427 22284 24376 27236 27423 36564 40854 44568 54472 54846 61281 73128 81708 109692 122562 163416 171463 219384 245124 342926 490248 514389 685852 1028778 1371704 1543167 1886093 2057556 3086334 3772186 4115112 5658279 6172668 7544372 11316558 12345336 15088744 16974837 22633116 33949674 45266232 67899348 135798696