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135703305 = 32522313523
BaseRepresentation
bin10000001011010…
…10101100001001
3100110100102221100
420011222230021
5234220001210
621244332013
73235313313
oct1005525411
9313312840
10135703305
116a6679a1
1239544009
132216471a
14140467b3
15bda85c0
hex816ab09

135703305 has 24 divisors (see below), whose sum is σ = 236291328. Its totient is φ = 72045216.

The previous prime is 135703283. The next prime is 135703331. The reversal of 135703305 is 503307531.

135703305 is a `hidden beast` number, since 1 + 357 + 0 + 3 + 305 = 666.

It is not a de Polignac number, because 135703305 - 25 = 135703273 is a prime.

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, 3274 + ... + 16796.

It is an arithmetic number, because the mean of its divisors is an integer number (9845472).

Almost surely, 2135703305 is an apocalyptic number.

135703305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135703305 is a deficient number, since it is larger than the sum of its proper divisors (100588023).

135703305 is a wasteful number, since it uses less digits than its factorization.

135703305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13757 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 135703305 is about 11649.1761511276. The cubic root of 135703305 is about 513.8820819400.

The spelling of 135703305 in words is "one hundred thirty-five million, seven hundred three thousand, three hundred five".

Divisors: 1 3 5 9 15 45 223 669 1115 2007 3345 10035 13523 40569 67615 121707 202845 608535 3015629 9046887 15078145 27140661 45234435 135703305