Search a number
-
+
14663936 = 2873167
BaseRepresentation
bin110111111100…
…000100000000
31000121000010202
4313330010000
512223221221
61242144332
7235433000
oct67740400
930530122
1014663936
118306261
124ab20a8
1330656b1
141d3a000
151449d0b
hexdfc100

14663936 has 72 divisors (see below), whose sum is σ = 34339200. Its totient is φ = 6246912.

The previous prime is 14663927. The next prime is 14663941. The reversal of 14663936 is 63936641.

It is a self number, because there is not a number n which added to its sum of digits gives 14663936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87725 + ... + 87891.

Almost surely, 214663936 is an apocalyptic number.

14663936 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 14663936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169600).

14663936 is an abundant number, since it is smaller than the sum of its proper divisors (19675264).

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

14663936 is an frugal number, since it uses more digits than its factorization.

14663936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 176 counting only the distinct ones).

The product of its digits is 69984, while the sum is 38.

The square root of 14663936 is about 3829.3519033904. The cubic root of 14663936 is about 244.7654898880.

The spelling of 14663936 in words is "fourteen million, six hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 167 196 224 256 334 343 392 448 668 686 784 896 1169 1336 1372 1568 1792 2338 2672 2744 3136 4676 5344 5488 6272 8183 9352 10688 10976 12544 16366 18704 21376 21952 32732 37408 42752 43904 57281 65464 74816 87808 114562 130928 149632 229124 261856 299264 458248 523712 916496 1047424 1832992 2094848 3665984 7331968 14663936