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135857917 = 132803893
BaseRepresentation
bin10000001100100…
…00011011111101
3100110122022000201
420012100123331
5234234423132
621251523501
73236526136
oct1006203375
9313568021
10135857917
116a763078
12395b9591
13221b9c00
1414086c8d
15bdd92e7
hex81906fd

135857917 has 6 divisors (see below), whose sum is σ = 147112602. Its totient is φ = 125407152.

The previous prime is 135857899. The next prime is 135857929. The reversal of 135857917 is 719758531.

It can be written as a sum of positive squares in 3 ways, for example, as 8145316 + 127712601 = 2854^2 + 11301^2 .

It is not a de Polignac number, because 135857917 - 215 = 135825149 is a prime.

It is a super-2 number, since 2×1358579172 = 36914747223157778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135857317) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 401778 + ... + 402115.

It is an arithmetic number, because the mean of its divisors is an integer number (24518767).

Almost surely, 2135857917 is an apocalyptic number.

It is an amenable number.

135857917 is a deficient number, since it is larger than the sum of its proper divisors (11254685).

135857917 is an equidigital number, since it uses as much as digits as its factorization.

135857917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803919 (or 803906 counting only the distinct ones).

The product of its digits is 264600, while the sum is 46.

The square root of 135857917 is about 11655.8104394332. The cubic root of 135857917 is about 514.0771697486.

The spelling of 135857917 in words is "one hundred thirty-five million, eight hundred fifty-seven thousand, nine hundred seventeen".

Divisors: 1 13 169 803893 10450609 135857917