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10990 = 257157
BaseRepresentation
bin10101011101110
3120002001
42223232
5322430
6122514
744020
oct25356
916061
1010990
118291
12643a
135005
144010
1533ca
hex2aee

10990 has 16 divisors (see below), whose sum is σ = 22752. Its totient is φ = 3744.

The previous prime is 10987. The next prime is 10993. The reversal of 10990 is 9901.

Subtracting from 10990 its reverse (9901), we obtain a square (1089 = 332).

It can be divided in two parts, 10 and 990, that added together give a cube (1000 = 103).

10990 is nontrivially palindromic in base 9 and base 13.

It is an interprime number because it is at equal distance from previous prime (10987) and next prime (10993).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10993) 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, 9 + ... + 148.

It is an arithmetic number, because the mean of its divisors is an integer number (1422).

It is the magic constant of a 28 × 28 magic square.

210990 is an apocalyptic number.

10990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10990 is an abundant number, since it is smaller than the sum of its proper divisors (11762).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376).

10990 is a wasteful number, since it uses less digits than its factorization.

10990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 10990 is about 104.8332008478. The cubic root of 10990 is about 22.2330595288.

The spelling of 10990 in words is "ten thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 157 314 785 1099 1570 2198 5495 10990