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135852696 = 2332735501
BaseRepresentation
bin10000001100011…
…11001010011000
3100110122000212100
420012033022120
5234234241241
621251443400
73236505000
oct1006171230
9313560770
10135852696
116a75a161
12395b6560
13221b7715
1414085000
15bdd79b6
hex818f298

135852696 has 96 divisors (see below), whose sum is σ = 429156000. Its totient is φ = 38808000.

The previous prime is 135852677. The next prime is 135852707. The reversal of 135852696 is 696258531.

135852696 is a `hidden beast` number, since 1 + 3 + 585 + 2 + 69 + 6 = 666.

It is a congruent number.

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, 21946 + ... + 27446.

It is an arithmetic number, because the mean of its divisors is an integer number (4470375).

Almost surely, 2135852696 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 135852696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214578000).

135852696 is an abundant number, since it is smaller than the sum of its proper divisors (293303304).

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

135852696 is a wasteful number, since it uses less digits than its factorization.

135852696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5513 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 135852696 is about 11655.5864717311. The cubic root of 135852696 is about 514.0705843606.

The spelling of 135852696 in words is "one hundred thirty-five million, eight hundred fifty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4116 5501 6174 8232 11002 12348 16503 22004 24696 33006 38507 44008 49509 66012 77014 99018 115521 132024 154028 198036 231042 269549 308056 346563 396072 462084 539098 693126 808647 924168 1078196 1386252 1617294 1886843 2156392 2425941 2772504 3234588 3773686 4851882 5660529 6469176 7547372 9703764 11321058 15094744 16981587 19407528 22642116 33963174 45284232 67926348 135852696