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13868680 = 235749531
BaseRepresentation
bin110100111001…
…111010001000
3222002121020211
4310321322020
512022244210
61213130504
7225611320
oct64717210
928077224
1013868680
117912821
124789a34
132b47727
141bb0280
15133e38a
hexd39e88

13868680 has 32 divisors (see below), whose sum is σ = 35663040. Its totient is φ = 4754880.

The previous prime is 13868671. The next prime is 13868681. The reversal of 13868680 is 8686831.

13868680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13868681) 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, 24486 + ... + 25045.

It is an arithmetic number, because the mean of its divisors is an integer number (1114470).

Almost surely, 213868680 is an apocalyptic number.

13868680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13868680 is an abundant number, since it is smaller than the sum of its proper divisors (21794360).

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

13868680 is a wasteful number, since it uses less digits than its factorization.

13868680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49549 (or 49545 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 13868680 is about 3724.0676685581. The cubic root of 13868680 is about 240.2582867482.

The spelling of 13868680 in words is "thirteen million, eight hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 49531 99062 198124 247655 346717 396248 495310 693434 990620 1386868 1733585 1981240 2773736 3467170 6934340 13868680