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15900 = 2235253
BaseRepresentation
bin11111000011100
3210210220
43320130
51002100
6201340
764233
oct37034
923726
1015900
1110a45
129250
137311
145b1a
154aa0
hex3e1c

15900 has 36 divisors (see below), whose sum is σ = 46872. Its totient is φ = 4160.

The previous prime is 15889. The next prime is 15901. The reversal of 15900 is 951.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 15900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15901) by changing a digit.

15900 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 11 ways as a sum of consecutive naturals, for example, 274 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

215900 is an apocalyptic number.

15900 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 15900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436).

15900 is an abundant number, since it is smaller than the sum of its proper divisors (30972).

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

15900 is a wasteful number, since it uses less digits than its factorization.

15900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 15900 is about 126.0952021292. The cubic root of 15900 is about 25.1458145380.

The spelling of 15900 in words is "fifteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900