Search a number
-
+
14989936 = 2413193793
BaseRepresentation
bin111001001011…
…101001110000
31001012120022211
4321023221300
512314134221
61253141504
7241261303
oct71135160
931176284
1014989936
118509185
12502a894
13314abb0
141dc2b3a
1514b16e1
hexe4ba70

14989936 has 40 divisors (see below), whose sum is σ = 32931920. Its totient is φ = 6552576.

The previous prime is 14989913. The next prime is 14989939. The reversal of 14989936 is 63998941.

14989936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14989936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14989939) 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, 2056 + ... + 5848.

It is an arithmetic number, because the mean of its divisors is an integer number (823298).

Almost surely, 214989936 is an apocalyptic number.

14989936 is a gapful number since it is divisible by the number (16) 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 14989936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465960).

14989936 is an abundant number, since it is smaller than the sum of its proper divisors (17941984).

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

14989936 is a wasteful number, since it uses less digits than its factorization.

14989936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833 (or 3827 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The square root of 14989936 is about 3871.6838713924. The cubic root of 14989936 is about 246.5660396303.

The spelling of 14989936 in words is "fourteen million, nine hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3793 3952 7586 15172 30344 49309 60688 72067 98618 144134 197236 288268 394472 576536 788944 936871 1153072 1873742 3747484 7494968 14989936