Search a number
-
+
13984425 = 3252713683
BaseRepresentation
bin110101010110…
…001010101001
3222022111000200
4311112022221
512040000200
61215422413
7226602630
oct65261251
928274020
1013984425
117991784
124824a09
132b88310
141c00517
151363800
hexd562a9

13984425 has 72 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 5892480.

The previous prime is 13984363. The next prime is 13984429. The reversal of 13984425 is 52448931.

13984425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13984425 - 27 = 13984297 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13984425.

It is not an unprimeable number, because it can be changed into a prime (13984429) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20134 + ... + 20816.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 213984425 is an apocalyptic number.

13984425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13984425 is an abundant number, since it is smaller than the sum of its proper divisors (16888599).

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

13984425 is a wasteful number, since it uses less digits than its factorization.

13984425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13984425 is about 3739.5755106696. The cubic root of 13984425 is about 240.9248171444.

The spelling of 13984425 in words is "thirteen million, nine hundred eighty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 195 225 273 315 325 455 525 585 683 819 975 1365 1575 2049 2275 2925 3415 4095 4781 6147 6825 8879 10245 14343 17075 20475 23905 26637 30735 43029 44395 51225 62153 71715 79911 119525 133185 153675 186459 215145 221975 310765 358575 399555 559377 665925 932295 1075725 1553825 1997775 2796885 4661475 13984425