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13240864 = 257134547
BaseRepresentation
bin110010100000…
…101000100000
3220220201001101
4302200220200
511342201424
61151444144
7220355050
oct62405040
926821041
1013240864
11752406a
124526654
132987a40
141a89560
151268344
hexca0a20

13240864 has 48 divisors (see below), whose sum is σ = 32090688. Its totient is φ = 5236992.

The previous prime is 13240859. The next prime is 13240873. The reversal of 13240864 is 46804231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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, 639 + ... + 5185.

It is an arithmetic number, because the mean of its divisors is an integer number (668556).

Almost surely, 213240864 is an apocalyptic number.

13240864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045344).

13240864 is an abundant number, since it is smaller than the sum of its proper divisors (18849824).

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

13240864 is a wasteful number, since it uses less digits than its factorization.

13240864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 13240864 is about 3638.7998021326. The cubic root of 13240864 is about 236.5767755776.

The spelling of 13240864 in words is "thirteen million, two hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 4547 9094 18188 31829 36376 59111 63658 72752 118222 127316 145504 236444 254632 413777 472888 509264 827554 945776 1018528 1655108 1891552 3310216 6620432 13240864