Search a number
-
+
13984256 = 291113191
BaseRepresentation
bin110101010110…
…001000000000
3222022110210102
4311112020000
512034444011
61215421532
7226602266
oct65261000
928273712
1013984256
117991640
1248248a8
132b88210
141c00436
15136373b
hexd56200

13984256 has 80 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 5836800.

The previous prime is 13984213. The next prime is 13984277. The reversal of 13984256 is 65248931.

It is a happy 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, 73121 + ... + 73311.

Almost surely, 213984256 is an apocalyptic number.

13984256 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 13984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

13984256 is an abundant number, since it is smaller than the sum of its proper divisors (19013632).

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

13984256 is a wasteful number, since it uses less digits than its factorization.

13984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 13984256 is about 3739.5529144538. The cubic root of 13984256 is about 240.9238466252.

The spelling of 13984256 in words is "thirteen million, nine hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 191 208 256 286 352 382 416 512 572 704 764 832 1144 1408 1528 1664 2101 2288 2483 2816 3056 3328 4202 4576 4966 5632 6112 6656 8404 9152 9932 12224 16808 18304 19864 24448 27313 33616 36608 39728 48896 54626 67232 73216 79456 97792 109252 134464 158912 218504 268928 317824 437008 537856 635648 874016 1075712 1271296 1748032 3496064 6992128 13984256