Search a number
-
+
14289756 = 22313139659
BaseRepresentation
bin110110100000…
…101101011100
3222212222212020
4312200231130
512124233011
61230140140
7232314045
oct66405534
928788766
1014289756
118080118
124951650
132c642a0
141c7d8cc
1513c4006
hexda0b5c

14289756 has 48 divisors (see below), whose sum is σ = 36220800. Its totient is φ = 4358592.

The previous prime is 14289731. The next prime is 14289761. The reversal of 14289756 is 65798241.

14289756 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 (42) coincides with the sum of the digits of its distinct prime factors.

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, 21355 + ... + 22013.

It is an arithmetic number, because the mean of its divisors is an integer number (754600).

Almost surely, 214289756 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 14289756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18110400).

14289756 is an abundant number, since it is smaller than the sum of its proper divisors (21931044).

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

14289756 is a wasteful number, since it uses less digits than its factorization.

14289756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 816 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 14289756 is about 3780.1793608240. The cubic root of 14289756 is about 242.6656309916.

It can be divided in two parts, 142 and 89756, that added together give a palindrome (89898).

The spelling of 14289756 in words is "fourteen million, two hundred eighty-nine thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 278 417 556 659 834 1318 1668 1807 1977 2636 3614 3954 5421 7228 7908 8567 10842 17134 21684 25701 34268 51402 91601 102804 183202 274803 366404 549606 1099212 1190813 2381626 3572439 4763252 7144878 14289756