Search a number
-
+
14240688 = 2437113853
BaseRepresentation
bin110110010100…
…101110110000
3222210111112220
4312110232300
512121200223
61225121040
7232021020
oct66245660
928714486
1014240688
118047270
124929180
132c47b57
141c69a80
1513b46e3
hexd94bb0

14240688 has 80 divisors (see below), whose sum is σ = 45878016. Its totient is φ = 3697920.

The previous prime is 14240663. The next prime is 14240693. The reversal of 14240688 is 88604241.

14240688 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 a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770 + ... + 5622.

Almost surely, 214240688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14240688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22939008).

14240688 is an abundant number, since it is smaller than the sum of its proper divisors (31637328).

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

14240688 is a wasteful number, since it uses less digits than its factorization.

14240688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 14240688 is about 3773.6836115393. The cubic root of 14240688 is about 242.3875583153.

The spelling of 14240688 in words is "fourteen million, two hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 3853 7706 11559 15412 23118 26971 30824 42383 46236 53942 61648 80913 84766 92472 107884 127149 161826 169532 184944 215768 254298 296681 323652 339064 431536 508596 593362 647304 678128 890043 1017192 1186724 1294608 1780086 2034384 2373448 3560172 4746896 7120344 14240688