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11264820 = 2235726821
BaseRepresentation
bin101010111110…
…001100110100
3210012022102120
4222332030310
510340433240
61041235540
7164515020
oct52761464
923168376
1011264820
1163a4476
123932bb0
132445498
1416d3380
15ec7ad0
hexabe334

11264820 has 48 divisors (see below), whose sum is σ = 36048768. Its totient is φ = 2574720.

The previous prime is 11264783. The next prime is 11264861. The reversal of 11264820 is 2846211.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12991 + ... + 13830.

It is an arithmetic number, because the mean of its divisors is an integer number (751016).

Almost surely, 211264820 is an apocalyptic number.

11264820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11264820 is an abundant number, since it is smaller than the sum of its proper divisors (24783948).

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

11264820 is a wasteful number, since it uses less digits than its factorization.

11264820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26840 (or 26838 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11264820 is about 3356.3104743155. The cubic root of 11264820 is about 224.1685858854.

The spelling of 11264820 in words is "eleven million, two hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 26821 53642 80463 107284 134105 160926 187747 268210 321852 375494 402315 536420 563241 750988 804630 938735 1126482 1609260 1877470 2252964 2816205 3754940 5632410 11264820