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135807620 = 22513522337
BaseRepresentation
bin10000001100001…
…00001010000100
3100110112202000212
420012010022010
5234231320440
621250454552
73236226404
oct1006041204
9313482025
10135807620
116a729303
1239594458
13221a0050
1414072804
15bdc9465
hex8184284

135807620 has 24 divisors (see below), whose sum is σ = 307134744. Its totient is φ = 50144256.

The previous prime is 135807601. The next prime is 135807629. The reversal of 135807620 is 26708531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 134606404 = 1096^2 + 11602^2 .

It is not an unprimeable number, because it can be changed into a prime (135807629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260909 + ... + 261428.

It is an arithmetic number, because the mean of its divisors is an integer number (12797281).

Almost surely, 2135807620 is an apocalyptic number.

135807620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135807620 is an abundant number, since it is smaller than the sum of its proper divisors (171327124).

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

135807620 is a wasteful number, since it uses less digits than its factorization.

135807620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522359 (or 522357 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 135807620 is about 11653.6526462736. The cubic root of 135807620 is about 514.0137217693.

The spelling of 135807620 in words is "one hundred thirty-five million, eight hundred seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 522337 1044674 2089348 2611685 5223370 6790381 10446740 13580762 27161524 33951905 67903810 135807620