Search a number
-
+
14157432 = 23321979131
BaseRepresentation
bin110110000000…
…011001111000
3222122021100100
4312000121320
512111014212
61223235400
7231223212
oct66003170
928567310
1014157432
117a9a763
1248a8b60
132c18ca3
141c475b2
151399bdc
hexd80678

14157432 has 96 divisors (see below), whose sum is σ = 41184000. Its totient is φ = 4380480.

The previous prime is 14157391. The next prime is 14157433. The reversal of 14157432 is 23475141.

It is a junction number, because it is equal to n+sod(n) for n = 14157396 and 14157405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14157433) 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, 108007 + ... + 108137.

It is an arithmetic number, because the mean of its divisors is an integer number (429000).

Almost surely, 214157432 is an apocalyptic number.

14157432 is a gapful number since it is divisible by the number (12) 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 14157432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592000).

14157432 is an abundant number, since it is smaller than the sum of its proper divisors (27026568).

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

14157432 is a wasteful number, since it uses less digits than its factorization.

14157432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 14157432 is about 3762.6363098232. The cubic root of 14157432 is about 241.9142742147.

The spelling of 14157432 in words is "fourteen million, one hundred fifty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 79 114 131 152 158 171 228 237 262 316 342 393 456 474 524 632 684 711 786 948 1048 1179 1368 1422 1501 1572 1896 2358 2489 2844 3002 3144 4503 4716 4978 5688 6004 7467 9006 9432 9956 10349 12008 13509 14934 18012 19912 20698 22401 27018 29868 31047 36024 41396 44802 54036 59736 62094 82792 89604 93141 108072 124188 179208 186282 196631 248376 372564 393262 589893 745128 786524 1179786 1573048 1769679 2359572 3539358 4719144 7078716 14157432