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11868820 = 2255311197
BaseRepresentation
bin101101010001…
…101010010100
3211022222221221
4231101222110
511014300240
61102220124
7202611655
oct55215224
924288857
1011868820
116777247
123b84644
1325c7392
14180d52c
151096a4a
hexb51a94

11868820 has 24 divisors (see below), whose sum is σ = 25397064. Its totient is φ = 4657536.

The previous prime is 11868811. The next prime is 11868821. The reversal of 11868820 is 2886811.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 10876804 = 996^2 + 3298^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11868821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4539 + ... + 6658.

It is an arithmetic number, because the mean of its divisors is an integer number (1058211).

Almost surely, 211868820 is an apocalyptic number.

11868820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11868820 is an abundant number, since it is smaller than the sum of its proper divisors (13528244).

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

11868820 is a wasteful number, since it uses less digits than its factorization.

11868820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 11868820 is about 3445.1153826831. The cubic root of 11868820 is about 228.1055477252.

Subtracting from 11868820 its reverse (2886811), we obtain a square (8982009 = 29972).

The spelling of 11868820 in words is "eleven million, eight hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 11197 22394 44788 55985 111970 223940 593441 1186882 2373764 2967205 5934410 11868820