Search a number
15193 is a prime number
BaseRepresentation
bin11101101011001
3202211201
43231121
5441233
6154201
762203
oct35531
922751
1015193
1110462
128961
136bb9
145773
15477d
hex3b59

15193 has 2 divisors, whose sum is σ = 15194. Its totient is φ = 15192.

The previous prime is 15187. The next prime is 15199. The reversal of 15193 is 39151.

It is a balanced prime because it is at equal distance from previous prime (15187) and next prime (15199).

It can be written as a sum of positive squares in only one way, i.e., 15129 + 64 = 123^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 15193 - 25 = 15161 is a prime.

15193 is a lucky number.

It is equal to p1774 and since 15193 and 1774 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 15193.

It is not a weakly prime, because it can be changed into another prime (15199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7596 + 7597.

It is an arithmetic number, because the mean of its divisors is an integer number (7597).

215193 is an apocalyptic number.

It is an amenable number.

15193 is a deficient number, since it is larger than the sum of its proper divisors (1).

15193 is an equidigital number, since it uses as much as digits as its factorization.

15193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 135, while the sum is 19.

The square root of 15193 is about 123.2598880415. The cubic root of 15193 is about 24.7674434051.

The spelling of 15193 in words is "fifteen thousand, one hundred ninety-three".