Search a number
-
+
13952896 = 27611787
BaseRepresentation
bin110101001110…
…011110000000
3222020212202221
4311032132000
512032443041
61215020424
7226411666
oct65163600
928225687
1013952896
117970021
12480a714
132b76b69
141bd2c36
1513592d1
hexd4e780

13952896 has 32 divisors (see below), whose sum is σ = 28268280. Its totient is φ = 6858240.

The previous prime is 13952893. The next prime is 13952909. The reversal of 13952896 is 69825931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13952893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6915 + ... + 8701.

Almost surely, 213952896 is an apocalyptic number.

13952896 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 13952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134140).

13952896 is an abundant number, since it is smaller than the sum of its proper divisors (14315384).

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

13952896 is an equidigital number, since it uses as much as digits as its factorization.

13952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1850 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 13952896 is about 3735.3575464740. The cubic root of 13952896 is about 240.7436195048.

It can be divided in two parts, 139 and 52896, that added together give a palindrome (53035).

The spelling of 13952896 in words is "thirteen million, nine hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1787 1952 3574 3904 7148 7808 14296 28592 57184 109007 114368 218014 228736 436028 872056 1744112 3488224 6976448 13952896