Search a number
-
+
14026896 = 24321359127
BaseRepresentation
bin110101100000…
…100010010000
3222101122021200
4311200202100
512042330041
61220351200
7230140512
oct65404220
928348250
1014026896
117a10684
124845500
132ba1750
141c11bb2
1513711b6
hexd60890

14026896 has 120 divisors (see below), whose sum is σ = 43330560. Its totient is φ = 4209408.

The previous prime is 14026867. The next prime is 14026939. The reversal of 14026896 is 69862041.

It is a super-2 number, since 2×140268962 = 393507622789632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14026896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110385 + ... + 110511.

It is an arithmetic number, because the mean of its divisors is an integer number (361088).

Almost surely, 214026896 is an apocalyptic number.

14026896 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 14026896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665280).

14026896 is an abundant number, since it is smaller than the sum of its proper divisors (29303664).

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

14026896 is a wasteful number, since it uses less digits than its factorization.

14026896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 14026896 is about 3745.2497914024. The cubic root of 14026896 is about 241.1684686057.

The spelling of 14026896 in words is "fourteen million, twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 127 144 156 177 208 234 236 254 312 354 381 468 472 508 531 624 708 762 767 936 944 1016 1062 1143 1416 1524 1534 1651 1872 2032 2124 2286 2301 2832 3048 3068 3302 4248 4572 4602 4953 6096 6136 6604 6903 7493 8496 9144 9204 9906 12272 13208 13806 14859 14986 18288 18408 19812 22479 26416 27612 29718 29972 36816 39624 44958 55224 59436 59944 67437 79248 89916 97409 110448 118872 119888 134874 179832 194818 237744 269748 292227 359664 389636 539496 584454 779272 876681 1078992 1168908 1558544 1753362 2337816 3506724 4675632 7013448 14026896