Search a number
15424 = 26241
BaseRepresentation
bin11110001000000
3210011021
43301000
5443144
6155224
762653
oct36100
923137
1015424
1110652
128b14
137036
14589a
154884
hex3c40

15424 has 14 divisors (see below), whose sum is σ = 30734. Its totient is φ = 7680.

The previous prime is 15413. The next prime is 15427. The reversal of 15424 is 42451.

15424 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 1024 = 120^2 + 32^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 15398 and 15407.

It is not an unprimeable number, because it can be changed into a prime (15427) by changing a digit.

15424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57 + ... + 184.

215424 is an apocalyptic number.

It is an amenable number.

15424 is a deficient number, since it is larger than the sum of its proper divisors (15310).

15424 is an equidigital number, since it uses as much as digits as its factorization.

15424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its digits is 160, while the sum is 16.

The square root of 15424 is about 124.1933975701. The cubic root of 15424 is about 24.8923370128.

Adding to 15424 its reverse (42451), we get a palindrome (57875).

The spelling of 15424 in words is "fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 241 482 964 1928 3856 7712 15424