Search a number
-
+
14460264 = 23327132207
BaseRepresentation
bin110111001010…
…010101101000
31000012122202100
4313022111220
512200212024
61233533400
7233624130
oct67122550
930178670
1014460264
118187235
124a14260
132cc3a90
141cc5ac0
1514097c9
hexdca568

14460264 has 96 divisors (see below), whose sum is σ = 48222720. Its totient is φ = 3811968.

The previous prime is 14460263. The next prime is 14460269. The reversal of 14460264 is 46206441.

14460264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14460263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5449 + ... + 7655.

It is an arithmetic number, because the mean of its divisors is an integer number (502320).

Almost surely, 214460264 is an apocalyptic number.

14460264 is a gapful number since it is divisible by the number (14) 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 14460264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24111360).

14460264 is an abundant number, since it is smaller than the sum of its proper divisors (33762456).

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

14460264 is a wasteful number, since it uses less digits than its factorization.

14460264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 14460264 is about 3802.6653810190. The cubic root of 14460264 is about 243.6269943473.

The spelling of 14460264 in words is "fourteen million, four hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 2207 3276 4414 6552 6621 8828 13242 15449 17656 19863 26484 28691 30898 39726 46347 52968 57382 61796 79452 86073 92694 114764 123592 139041 158904 172146 185388 200837 229528 258219 278082 344292 370776 401674 516438 556164 602511 688584 803348 1032876 1112328 1205022 1606696 1807533 2065752 2410044 3615066 4820088 7230132 14460264