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15040 = 26547
BaseRepresentation
bin11101011000000
3202122001
43223000
5440130
6153344
761564
oct35300
922561
1015040
1110333
128854
136acc
1456a4
1546ca
hex3ac0

15040 has 28 divisors (see below), whose sum is σ = 36576. Its totient is φ = 5888.

The previous prime is 15031. The next prime is 15053. The reversal of 15040 is 4051.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297 + ... + 343.

215040 is an apocalyptic number.

15040 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 15040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288).

15040 is an abundant number, since it is smaller than the sum of its proper divisors (21536).

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

15040 is an equidigital number, since it uses as much as digits as its factorization.

15040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 15040 is about 122.6376777340. The cubic root of 15040 is about 24.6840231711.

Adding to 15040 its reverse (4051), we get a palindrome (19091).

It can be divided in two parts, 150 and 40, that added together give a triangular number (190 = T19).

The spelling of 15040 in words is "fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 3008 3760 7520 15040