Search a number
15400 = 2352711
BaseRepresentation
bin11110000101000
3210010101
43300220
5443100
6155144
762620
oct36050
923111
1015400
1110630
128ab4
137018
145880
15486a
hex3c28

15400 has 48 divisors (see below), whose sum is σ = 44640. Its totient is φ = 4800.

The previous prime is 15391. The next prime is 15401. The reversal of 15400 is 451.

15400 is a nontrivial binomial coefficient, being equal to C(176, 2).

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

It is an Ulam number.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15401) by changing a digit.

15400 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, 1395 + ... + 1405.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

215400 is an apocalyptic number.

15400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15400 is the 175-th triangular number and also the 88-th hexagonal number.

15400 is the 59-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320).

15400 is an abundant number, since it is smaller than the sum of its proper divisors (29240).

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

15400 is a wasteful number, since it uses less digits than its factorization.

15400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 25 counting only the distinct ones).

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

The square root of 15400 is about 124.0967364599. The cubic root of 15400 is about 24.8794193473.

15400 divided by its sum of digits (10) gives a triangular number (1540 = T55).

Adding to 15400 its reverse (451), we get a palindrome (15851).

The spelling of 15400 in words is "fifteen thousand, four hundred".