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15190 = 257231
BaseRepresentation
bin11101101010110
3202211121
43231112
5441230
6154154
762200
oct35526
922747
1015190
111045a
12895a
136bb6
145770
15477a
hex3b56

15190 has 24 divisors (see below), whose sum is σ = 32832. Its totient is φ = 5040.

The previous prime is 15187. The next prime is 15193. The reversal of 15190 is 9151.

15190 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (15187) and next prime (15193).

It is a super-2 number, since 2×151902 = 461472200, which contains 22 as substring.

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (1368).

215190 is an apocalyptic number.

15190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15190 is the 62-nd decagonal number.

15190 is an abundant number, since it is smaller than the sum of its proper divisors (17642).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416).

15190 is a wasteful number, since it uses less digits than its factorization.

15190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 15190 is about 123.2477180316. The cubic root of 15190 is about 24.7658131100.

It can be divided in two parts, 15 and 190, that multiplied together give a triangular number (2850 = T75).

The spelling of 15190 in words is "fifteen thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 434 490 1085 1519 2170 3038 7595 15190