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13286240 = 255117549
BaseRepresentation
bin110010101011…
…101101100000
3221000000021222
4302223231200
511400124430
61152434212
7220634252
oct62535540
927000258
1013286240
117555170
124548968
1329a25a6
141a9bcd2
1512769e5
hexcabb60

13286240 has 48 divisors (see below), whose sum is σ = 34246800. Its totient is φ = 4830720.

The previous prime is 13286239. The next prime is 13286257. The reversal of 13286240 is 4268231.

13286240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2015 + ... + 5534.

It is an arithmetic number, because the mean of its divisors is an integer number (713475).

Almost surely, 213286240 is an apocalyptic number.

13286240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13286240 is an abundant number, since it is smaller than the sum of its proper divisors (20960560).

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

13286240 is a wasteful number, since it uses less digits than its factorization.

13286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7575 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13286240 is about 3645.0294923361. The cubic root of 13286240 is about 236.8467143656.

Subtracting from 13286240 its reverse (4268231), we obtain a square (9018009 = 30032).

The spelling of 13286240 in words is "thirteen million, two hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 7549 15098 30196 37745 60392 75490 83039 120784 150980 166078 241568 301960 332156 415195 603920 664312 830390 1207840 1328624 1660780 2657248 3321560 6643120 13286240