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15390 = 234519
BaseRepresentation
bin11110000011110
3210010000
43300132
5443030
6155130
762604
oct36036
923100
1015390
1110621
128aa6
13700b
145874
154860
hex3c1e

15390 has 40 divisors (see below), whose sum is σ = 43560. Its totient is φ = 3888.

The previous prime is 15383. The next prime is 15391. The reversal of 15390 is 9351.

It can be divided in two parts, 153 and 90, that added together give a 5-th power (243 = 35).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15391) by changing a digit.

15390 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 801 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (1089).

215390 is an apocalyptic number.

15390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21780).

15390 is an abundant number, since it is smaller than the sum of its proper divisors (28170).

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

15390 is a wasteful number, since it uses less digits than its factorization.

15390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 15390 is about 124.0564387688. The cubic root of 15390 is about 24.8740330255.

The spelling of 15390 in words is "fifteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 15390