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13896568 = 2372943199
BaseRepresentation
bin110101000000…
…101101111000
3222011000111201
4311000231320
512024142233
61213503544
7226055530
oct65005570
928130451
1013896568
117931774
1247a1bb4
132b5732a
141bba4c0
15134777d
hexd40b78

13896568 has 64 divisors (see below), whose sum is σ = 31680000. Its totient is φ = 5588352.

The previous prime is 13896563. The next prime is 13896569. The reversal of 13896568 is 86569831.

It is a super-2 number, since 2×138965682 = 386229204357248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13896563) 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 15 ways as a sum of consecutive naturals, for example, 69733 + ... + 69931.

It is an arithmetic number, because the mean of its divisors is an integer number (495000).

Almost surely, 213896568 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 13896568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840000).

13896568 is an abundant number, since it is smaller than the sum of its proper divisors (17783432).

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

13896568 is a wasteful number, since it uses less digits than its factorization.

13896568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 13896568 is about 3727.8100809993. The cubic root of 13896568 is about 240.4192210013.

The spelling of 13896568 in words is "thirteen million, eight hundred ninety-six thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 29 43 56 58 86 116 172 199 203 232 301 344 398 406 602 796 812 1204 1247 1393 1592 1624 2408 2494 2786 4988 5572 5771 8557 8729 9976 11144 11542 17114 17458 23084 34228 34916 40397 46168 59899 68456 69832 80794 119798 161588 239596 248153 323176 479192 496306 992612 1737071 1985224 3474142 6948284 13896568