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135362892 = 2237332887
BaseRepresentation
bin10000001000101…
…11100101001100
3100102201010222110
420010113211030
5234123103032
621233144020
73232365000
oct1004274514
9312633873
10135362892
116a455165
12393bb010
13220757b2
1413d98700
15bd3c7cc
hex811794c

135362892 has 48 divisors (see below), whose sum is σ = 368345600. Its totient is φ = 38673936.

The previous prime is 135362881. The next prime is 135362911. The reversal of 135362892 is 298263531.

It is a super-2 number, since 2×1353628922 = 36646225061207328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135362892.

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 15 ways as a sum of consecutive naturals, for example, 12328 + ... + 20559.

Almost surely, 2135362892 is an apocalyptic number.

135362892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135362892 is an abundant number, since it is smaller than the sum of its proper divisors (232982708).

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

135362892 is a wasteful number, since it uses less digits than its factorization.

135362892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32915 (or 32899 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 135362892 is about 11634.5559433955. Note that the first 3 decimals coincide. The cubic root of 135362892 is about 513.4520294852.

The spelling of 135362892 in words is "one hundred thirty-five million, three hundred sixty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 32887 65774 98661 131548 197322 230209 394644 460418 690627 920836 1381254 1611463 2762508 3222926 4834389 6445852 9668778 11280241 19337556 22560482 33840723 45120964 67681446 135362892