Search a number
-
+
14108980 = 2251722441
BaseRepresentation
bin110101110100…
…100100110100
3222112210212211
4311310210310
512102441410
61222223204
7230632024
oct65644464
928483784
1014108980
117a67316
124884b04
132bccc12
141c33a84
15138a68a
hexd74934

14108980 has 36 divisors (see below), whose sum is σ = 31487148. Its totient is φ = 5309440.

The previous prime is 14108957. The next prime is 14108981. The reversal of 14108980 is 8980141.

14108980 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 6 ways, for example, as 1444 + 14107536 = 38^2 + 3756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14108981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4560 + ... + 7000.

It is an arithmetic number, because the mean of its divisors is an integer number (874643).

Almost surely, 214108980 is an apocalyptic number.

14108980 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 14108980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743574).

14108980 is an abundant number, since it is smaller than the sum of its proper divisors (17378168).

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

14108980 is a wasteful number, since it uses less digits than its factorization.

14108980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 14108980 is about 3756.1922208535. The cubic root of 14108980 is about 241.6379852340.

The spelling of 14108980 in words is "fourteen million, one hundred eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2441 2890 4882 5780 9764 12205 24410 41497 48820 82994 165988 207485 414970 705449 829940 1410898 2821796 3527245 7054490 14108980