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10948 = 2271723
BaseRepresentation
bin10101011000100
3120000111
42223010
5322243
6122404
743630
oct25304
916014
1010948
118253
126404
134ca2
143dc0
15339d
hex2ac4

10948 has 24 divisors (see below), whose sum is σ = 24192. Its totient is φ = 4224.

The previous prime is 10939. The next prime is 10949. The reversal of 10948 is 84901.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

210948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

10948 is an abundant number, since it is smaller than the sum of its proper divisors (13244).

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

10948 is a wasteful number, since it uses less digits than its factorization.

10948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10948 is about 104.6326908762. The cubic root of 10948 is about 22.2047010038.

Adding to 10948 its product of nonzero digits (288), we get a square (11236 = 1062).

The spelling of 10948 in words is "ten thousand, nine hundred forty-eight".