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13864656 = 24313171307
BaseRepresentation
bin110100111000…
…111011010000
3222002101201210
4310320323100
512022132111
61213100120
7225563511
oct64707320
928071653
1013864656
11790a7a3
124787640
132b45950
141baca08
15133d0a6
hexd38ed0

13864656 has 80 divisors (see below), whose sum is σ = 40872384. Its totient is φ = 4012032.

The previous prime is 13864649. The next prime is 13864679. The reversal of 13864656 is 65646831.

13864656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9955 + ... + 11261.

Almost surely, 213864656 is an apocalyptic number.

13864656 is a gapful number since it is divisible by the number (16) 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 13864656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20436192).

13864656 is an abundant number, since it is smaller than the sum of its proper divisors (27007728).

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

13864656 is a wasteful number, since it uses less digits than its factorization.

13864656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 13864656 is about 3723.5273599102. The cubic root of 13864656 is about 240.2350475054.

The spelling of 13864656 in words is "thirteen million, eight hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1307 1326 1768 2614 2652 3536 3921 5228 5304 7842 10456 10608 15684 16991 20912 22219 31368 33982 44438 50973 62736 66657 67964 88876 101946 133314 135928 177752 203892 266628 271856 288847 355504 407784 533256 577694 815568 866541 1066512 1155388 1733082 2310776 3466164 4621552 6932328 13864656