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13135800 = 2335221893
BaseRepresentation
bin110010000110…
…111110111000
3220201100221010
4302012332320
511330321200
61145313520
7216436536
oct62067670
926640833
1013135800
117462137
1244958a0
13294bc82
141a5d156
151247150
hexc86fb8

13135800 has 48 divisors (see below), whose sum is σ = 40722840. Its totient is φ = 3502720.

The previous prime is 13135789. The next prime is 13135807. The reversal of 13135800 is 853131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135807) 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 11 ways as a sum of consecutive naturals, for example, 10347 + ... + 11546.

Almost surely, 213135800 is an apocalyptic number.

13135800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13135800 is an abundant number, since it is smaller than the sum of its proper divisors (27587040).

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

13135800 is a wasteful number, since it uses less digits than its factorization.

13135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21912 (or 21903 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13135800 is about 3624.3344216559. The cubic root of 13135800 is about 235.9493810809.

Adding to 13135800 its reverse (853131), we get a palindrome (13988931).

The spelling of 13135800 in words is "thirteen million, one hundred thirty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 21893 43786 65679 87572 109465 131358 175144 218930 262716 328395 437860 525432 547325 656790 875720 1094650 1313580 1641975 2189300 2627160 3283950 4378600 6567900 13135800