Search a number
-
+
10900 = 2252109
BaseRepresentation
bin10101010010100
3112221201
42222110
5322100
6122244
743531
oct25224
915851
1010900
11820a
126384
134c66
143d88
15336a
hex2a94

10900 has 18 divisors (see below), whose sum is σ = 23870. Its totient is φ = 4320.

The previous prime is 10891. The next prime is 10903. The reversal of 10900 is 901.

Subtracting from 10900 its reverse (901), we obtain a palindrome (9999).

It is a happy number.

10900 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 9604 = 36^2 + 98^2 .

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

It is a plaindrome in base 6 and base 15.

It is a nialpdrome in base 4 and base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46 + ... + 154.

210900 is an apocalyptic number.

10900 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 10900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935).

10900 is an abundant number, since it is smaller than the sum of its proper divisors (12970).

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

10900 is a wasteful number, since it uses less digits than its factorization.

10900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 10900 is about 104.4030650891. The cubic root of 10900 is about 22.1722023097.

The spelling of 10900 in words is "ten thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900