Search a number
-
+
13887825 = 352723779
BaseRepresentation
bin110100111110…
…100101010001
3222010120111220
4310332211101
512023402300
61213355253
7226021200
oct64764521
928116456
1013887825
117926146
124798b29
132b53363
141bb7237
151344da0
hexd3e951

13887825 has 36 divisors (see below), whose sum is σ = 26717040. Its totient is φ = 6347040.

The previous prime is 13887823. The next prime is 13887857. The reversal of 13887825 is 52878831.

It is a happy number.

It is not a de Polignac number, because 13887825 - 21 = 13887823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13887821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1786 + ... + 5564.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 213887825 is an apocalyptic number.

13887825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13887825 is a deficient number, since it is larger than the sum of its proper divisors (12829215).

13887825 is a wasteful number, since it uses less digits than its factorization.

13887825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3794 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 13887825 is about 3726.6372240936. The cubic root of 13887825 is about 240.3687906547.

The spelling of 13887825 in words is "thirteen million, eight hundred eighty-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1225 3675 3779 11337 18895 26453 56685 79359 94475 132265 185171 283425 396795 555513 661325 925855 1983975 2777565 4629275 13887825