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135913700 = 225213104549
BaseRepresentation
bin10000001100111…
…10000011100100
3100110202010112202
420012132003210
5234243214300
621253034032
73240150566
oct1006360344
9313663482
10135913700
116a7a0a7a
1239625918
1322209410
141409d336
15bdeaad5
hex819e0e4

135913700 has 36 divisors (see below), whose sum is σ = 317622900. Its totient is φ = 50183040.

The previous prime is 135913697. The next prime is 135913709. The reversal of 135913700 is 7319531.

It can be written as a sum of positive squares in 6 ways, for example, as 20866624 + 115047076 = 4568^2 + 10726^2 .

It is not an unprimeable number, because it can be changed into a prime (135913709) 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 11 ways as a sum of consecutive naturals, for example, 50975 + ... + 53574.

Almost surely, 2135913700 is an apocalyptic number.

135913700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135913700 is an abundant number, since it is smaller than the sum of its proper divisors (181709200).

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

135913700 is a wasteful number, since it uses less digits than its factorization.

135913700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104576 (or 104569 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 135913700 is about 11658.2031205499. The cubic root of 135913700 is about 514.1475198207.

The spelling of 135913700 in words is "one hundred thirty-five million, nine hundred thirteen thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 104549 209098 418196 522745 1045490 1359137 2090980 2613725 2718274 5227450 5436548 6795685 10454900 13591370 27182740 33978425 67956850 135913700