Search a number
-
+
14107860 = 22325136029
BaseRepresentation
bin110101110100…
…010011010100
3222112202100100
4311310103110
512102422420
61222214100
7230625534
oct65642324
928482310
1014107860
117a66498
124884330
132bcc560
141c334c4
15138a190
hexd744d4

14107860 has 72 divisors (see below), whose sum is σ = 46093320. Its totient is φ = 3472128.

The previous prime is 14107859. The next prime is 14107867. The reversal of 14107860 is 6870141.

It is a happy number.

14107860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 12068676 = 1428^2 + 3474^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14107867) 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, 675 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (640185).

Almost surely, 214107860 is an apocalyptic number.

14107860 is a gapful number since it is divisible by the number (10) 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 14107860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23046660).

14107860 is an abundant number, since it is smaller than the sum of its proper divisors (31985460).

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

14107860 is a wasteful number, since it uses less digits than its factorization.

14107860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6057 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 14107860 is about 3756.0431307428. The cubic root of 14107860 is about 241.6315911572.

The spelling of 14107860 in words is "fourteen million, one hundred seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 6029 12058 18087 24116 30145 36174 54261 60290 72348 78377 90435 108522 120580 156754 180870 217044 235131 271305 313508 361740 391885 470262 542610 705393 783770 940524 1085220 1175655 1410786 1567540 2351310 2821572 3526965 4702620 7053930 14107860