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13062864 = 243713833
BaseRepresentation
bin110001110101…
…001011010000
3220120122212210
4301311023100
511321002424
61143552120
7216014103
oct61651320
926518783
1013062864
117412361
12445b640
132924a09
141a4073a
151230729
hexc752d0

13062864 has 40 divisors (see below), whose sum is σ = 34229952. Its totient is φ = 4291840.

The previous prime is 13062853. The next prime is 13062869. The reversal of 13062864 is 46826031.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13062869) 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 7 ways as a sum of consecutive naturals, for example, 1492 + ... + 5324.

Almost surely, 213062864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13062864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17114976).

13062864 is an abundant number, since it is smaller than the sum of its proper divisors (21167088).

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

13062864 is a wasteful number, since it uses less digits than its factorization.

13062864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 13062864 is about 3614.2584301624. The cubic root of 13062864 is about 235.5118705165.

Adding to 13062864 its reverse (46826031), we get a palindrome (59888895).

The spelling of 13062864 in words is "thirteen million, sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 3833 7666 11499 15332 22998 30664 45996 61328 91992 183984 272143 544286 816429 1088572 1632858 2177144 3265716 4354288 6531432 13062864