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15240 = 2335127
BaseRepresentation
bin11101110001000
3202220110
43232020
5441430
6154320
762301
oct35610
922813
1015240
11104a5
1289a0
136c24
1457a8
1547b0
hex3b88

15240 has 32 divisors (see below), whose sum is σ = 46080. Its totient is φ = 4032.

The previous prime is 15233. The next prime is 15241. The reversal of 15240 is 4251.

Adding to 15240 its reverse (4251), we get a palindrome (19491).

It can be divided in two parts, 15 and 240, that multiplied together give a square (3600 = 602).

15240 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

15240 is strictly pandigital in base 6.

It is not an unprimeable number, because it can be changed into a prime (15241) by changing a digit.

15240 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

215240 is an apocalyptic number.

15240 is a gapful number since it is divisible by the number (10) 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 15240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040).

15240 is an abundant number, since it is smaller than the sum of its proper divisors (30840).

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

15240 is a wasteful number, since it uses less digits than its factorization.

15240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 15240 is about 123.4503948961. The cubic root of 15240 is about 24.7929567234.

The spelling of 15240 in words is "fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240