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11363868 = 2233432447
BaseRepresentation
bin101011010110…
…011000011100
3210101100022000
4223112120130
510402120433
61043322300
7165406545
oct53263034
923340260
1011363868
11646192a
123980390
13247b5a9
14171b4cc
15ee7113
hexad661c

11363868 has 48 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 3698352.

The previous prime is 11363867. The next prime is 11363879. The reversal of 11363868 is 86836311.

11363868 is a `hidden beast` number, since 1 + 13 + 638 + 6 + 8 = 666.

11363868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11363861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3421 + ... + 5867.

It is an arithmetic number, because the mean of its divisors is an integer number (628320).

Almost surely, 211363868 is an apocalyptic number.

11363868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11363868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

11363868 is an abundant number, since it is smaller than the sum of its proper divisors (18795492).

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

11363868 is a wasteful number, since it uses less digits than its factorization.

11363868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2495 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11363868 is about 3371.0336693661. The cubic root of 11363868 is about 224.8236840925.

The spelling of 11363868 in words is "eleven million, three hundred sixty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 2447 4644 4894 7341 9788 14682 22023 29364 44046 66069 88092 105221 132138 210442 264276 315663 420884 631326 946989 1262652 1893978 2840967 3787956 5681934 11363868