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11260820 = 225563041
BaseRepresentation
bin101010111101…
…001110010100
3210012002221102
4222331032110
510340321240
61041205232
7164500244
oct52751624
923162842
1011260820
1163a146a
123930818
13244370c
1416d1b24
15ec6815
hexabd394

11260820 has 12 divisors (see below), whose sum is σ = 23647764. Its totient is φ = 4504320.

The previous prime is 11260819. The next prime is 11260829. The reversal of 11260820 is 2806211.

It can be written as a sum of positive squares in 2 ways, for example, as 1249924 + 10010896 = 1118^2 + 3164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 563041 = 11260820 / (1 + 1 + 2 + 6 + 0 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 11260792 and 11260801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11260829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281501 + ... + 281540.

It is an arithmetic number, because the mean of its divisors is an integer number (1970647).

Almost surely, 211260820 is an apocalyptic number.

11260820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11260820 is an abundant number, since it is smaller than the sum of its proper divisors (12386944).

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

11260820 is a wasteful number, since it uses less digits than its factorization.

11260820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563050 (or 563048 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11260820 is about 3355.7145289789. The cubic root of 11260820 is about 224.1420495686.

The spelling of 11260820 in words is "eleven million, two hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 563041 1126082 2252164 2815205 5630410 11260820