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13868660 = 22513411301
BaseRepresentation
bin110100111001…
…111001110100
3222002121020002
4310321321310
512022244120
61213130432
7225611261
oct64717164
928077202
1013868660
117912803
124789a18
132b47710
141bb0268
15133e375
hexd39e74

13868660 has 48 divisors (see below), whose sum is σ = 32154192. Its totient is φ = 4992000.

The previous prime is 13868653. The next prime is 13868671. The reversal of 13868660 is 6686831.

It can be written as a sum of positive squares in 8 ways, for example, as 8797156 + 5071504 = 2966^2 + 2252^2 .

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, 10010 + ... + 11310.

It is an arithmetic number, because the mean of its divisors is an integer number (669879).

Almost surely, 213868660 is an apocalyptic number.

13868660 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 13868660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077096).

13868660 is an abundant number, since it is smaller than the sum of its proper divisors (18285532).

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

13868660 is a wasteful number, since it uses less digits than its factorization.

13868660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 13868660 is about 3724.0649833213. The cubic root of 13868660 is about 240.2581712562.

It can be divided in two parts, 138686 and 60, that multiplied together give a triangular number (8321160 = T4079).

The spelling of 13868660 in words is "thirteen million, eight hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 1301 2132 2602 2665 5204 5330 6505 10660 13010 16913 26020 33826 53341 67652 84565 106682 169130 213364 266705 338260 533410 693433 1066820 1386866 2773732 3467165 6934330 13868660