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10914 = 2317107
BaseRepresentation
bin10101010100010
3112222020
42222202
5322124
6122310
743551
oct25242
915866
1010914
118222
126396
134c77
143d98
153379
hex2aa2

10914 has 16 divisors (see below), whose sum is σ = 23328. Its totient is φ = 3392.

The previous prime is 10909. The next prime is 10937. The reversal of 10914 is 41901.

10914 = T27 + T28 + ... + T43.

10914 is nontrivially palindromic in base 16.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 10893 and 10902.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10914.

It is an unprimeable number.

10914 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 7 ways as a sum of consecutive naturals, for example, 49 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1458).

210914 is an apocalyptic number.

10914 is an abundant number, since it is smaller than the sum of its proper divisors (12414).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664).

10914 is a wasteful number, since it uses less digits than its factorization.

10914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10914 is about 104.4700914138. The cubic root of 10914 is about 22.1816909344.

Subtracting from 10914 its product of nonzero digits (36), we obtain a triangular number (10878 = T147).

The spelling of 10914 in words is "ten thousand, nine hundred fourteen".

Divisors: 1 2 3 6 17 34 51 102 107 214 321 642 1819 3638 5457 10914