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11080820 = 2251813061
BaseRepresentation
bin101010010001…
…010001110100
3202211222000202
4222101101310
510314041240
61033300032
7163120412
oct52212164
922758022
1011080820
116289203
123864618
1323ac7ca
1416862b2
15e8d315
hexa91474

11080820 has 24 divisors (see below), whose sum is σ = 23405928. Its totient is φ = 4406400.

The previous prime is 11080807. The next prime is 11080829. The reversal of 11080820 is 2808011.

It can be written as a sum of positive squares in 4 ways, for example, as 763876 + 10316944 = 874^2 + 3212^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11080792 and 11080801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11080829) 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, 2090 + ... + 5150.

It is an arithmetic number, because the mean of its divisors is an integer number (975247).

Almost surely, 211080820 is an apocalyptic number.

11080820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11080820 is an abundant number, since it is smaller than the sum of its proper divisors (12325108).

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

11080820 is a wasteful number, since it uses less digits than its factorization.

11080820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 11080820 is about 3328.7865657023. The cubic root of 11080820 is about 222.9413534640.

Adding to 11080820 its reverse (2808011), we get a palindrome (13888831).

The spelling of 11080820 in words is "eleven million, eighty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3061 3620 6122 12244 15305 30610 61220 554041 1108082 2216164 2770205 5540410 11080820