Search a number
-
+
14656656 = 2437181241
BaseRepresentation
bin110111111010…
…010010010000
31000120122011010
4313322102100
512223003111
61242050520
7235402530
oct67722220
930518133
1014656656
118300843
124aa9a40
1330622a1
141d374c0
151447aa6
hexdfa490

14656656 has 80 divisors (see below), whose sum is σ = 43691648. Its totient is φ = 4147200.

The previous prime is 14656651. The next prime is 14656661. The reversal of 14656656 is 65665641.

14656656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14656651) and next prime (14656661).

It is not an unprimeable number, because it can be changed into a prime (14656651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60696 + ... + 60936.

Almost surely, 214656656 is an apocalyptic number.

14656656 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 14656656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21845824).

14656656 is an abundant number, since it is smaller than the sum of its proper divisors (29034992).

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

14656656 is a wasteful number, since it uses less digits than its factorization.

14656656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 14656656 is about 3828.4012328908. The cubic root of 14656656 is about 244.7249780789.

The spelling of 14656656 in words is "fourteen million, six hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 241 336 362 482 543 723 724 964 1086 1267 1446 1448 1687 1928 2172 2534 2892 2896 3374 3801 3856 4344 5061 5068 5784 6748 7602 8688 10122 10136 11568 13496 15204 20244 20272 26992 30408 40488 43621 60816 80976 87242 130863 174484 261726 305347 348968 523452 610694 697936 916041 1046904 1221388 1832082 2093808 2442776 3664164 4885552 7328328 14656656