Search a number
-
+
13882716 = 2232385631
BaseRepresentation
bin110100111101…
…010101011100
3222010022111200
4310331111130
512023221331
61213315500
7226000251
oct64752534
928108450
1013882716
117922321
124795b90
132b50c33
141bb5428
1513435e6
hexd3d55c

13882716 has 18 divisors (see below), whose sum is σ = 35092512. Its totient is φ = 4627560.

The previous prime is 13882709. The next prime is 13882717. The reversal of 13882716 is 61728831.

13882716 is a `hidden beast` number, since 1 + 388 + 271 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) 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 (36), and also a Moran number because the ratio is a prime number: 385631 = 13882716 / (1 + 3 + 8 + 8 + 2 + 7 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13882717) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 192780 + ... + 192851.

It is an arithmetic number, because the mean of its divisors is an integer number (1949584).

Almost surely, 213882716 is an apocalyptic number.

It is an amenable number.

13882716 is an abundant number, since it is smaller than the sum of its proper divisors (21209796).

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

13882716 is a wasteful number, since it uses less digits than its factorization.

13882716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385641 (or 385636 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13882716 is about 3725.9516905081. The cubic root of 13882716 is about 240.3393117221.

The spelling of 13882716 in words is "thirteen million, eight hundred eighty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 385631 771262 1156893 1542524 2313786 3470679 4627572 6941358 13882716