Search a number
-
+
13939760 = 2451631069
BaseRepresentation
bin110101001011…
…010000110000
3222020012202102
4311023100300
512032033020
61214435532
7226325462
oct65132060
928205672
1013939760
11796116a
124802ba8
132b70ba3
141bcc132
151355475
hexd4b430

13939760 has 40 divisors (see below), whose sum is σ = 32639280. Its totient is φ = 5536512.

The previous prime is 13939747. The next prime is 13939769. The reversal of 13939760 is 6793931.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13939769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12506 + ... + 13574.

It is an arithmetic number, because the mean of its divisors is an integer number (815982).

Almost surely, 213939760 is an apocalyptic number.

13939760 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 13939760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16319640).

13939760 is an abundant number, since it is smaller than the sum of its proper divisors (18699520).

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

13939760 is a wasteful number, since it uses less digits than its factorization.

13939760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 38.

The square root of 13939760 is about 3733.5988000855. The cubic root of 13939760 is about 240.6680461584.

The spelling of 13939760 in words is "thirteen million, nine hundred thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1069 1304 1630 2138 2608 3260 4276 5345 6520 8552 10690 13040 17104 21380 42760 85520 174247 348494 696988 871235 1393976 1742470 2787952 3484940 6969880 13939760