Search a number
-
+
14032590 = 23511133271
BaseRepresentation
bin110101100001…
…111011001110
3222101221002120
4311201323032
512043020330
61220433410
7230163225
oct65417316
928357076
1014032590
117a14990
124848866
132ba4210
141c13cbc
151372c10
hexd61ece

14032590 has 64 divisors (see below), whose sum is σ = 39578112. Its totient is φ = 3139200.

The previous prime is 14032567. The next prime is 14032591. The reversal of 14032590 is 9523041.

It is a self number, because there is not a number n which added to its sum of digits gives 14032590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14032591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655 + ... + 5925.

It is an arithmetic number, because the mean of its divisors is an integer number (618408).

Almost surely, 214032590 is an apocalyptic number.

14032590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14032590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19789056).

14032590 is an abundant number, since it is smaller than the sum of its proper divisors (25545522).

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

14032590 is a wasteful number, since it uses less digits than its factorization.

14032590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 14032590 is about 3746.0098771893. The cubic root of 14032590 is about 241.2010970526.

It can be divided in two parts, 1403 and 2590, that added together give a palindrome (3993).

The spelling of 14032590 in words is "fourteen million, thirty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 3271 4290 6542 9813 16355 19626 32710 35981 42523 49065 71962 85046 98130 107943 127569 179905 212615 215886 255138 359810 425230 467753 539715 637845 935506 1079430 1275690 1403259 2338765 2806518 4677530 7016295 14032590