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23806900 = 22521318313
BaseRepresentation
bin101101011010…
…0001110110100
31122210111221001
41122310032310
522043310100
62210133044
7406232605
oct132641664
948714831
1023806900
1112490527
127b81184
134c17130
143239dac
152153d6a
hex16b43b4

23806900 has 36 divisors (see below), whose sum is σ = 55637932. Its totient is φ = 8789760.

The previous prime is 23806889. The next prime is 23806927. The reversal of 23806900 is 960832.

It can be written as a sum of positive squares in 6 ways, for example, as 4901796 + 18905104 = 2214^2 + 4348^2 .

It is a super-2 number, since 2×238069002 = 1133536975220000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 7857 + ... + 10456.

Almost surely, 223806900 is an apocalyptic number.

23806900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23806900 is an abundant number, since it is smaller than the sum of its proper divisors (31831032).

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

23806900 is a wasteful number, since it uses less digits than its factorization.

23806900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340 (or 18333 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 23806900 is about 4879.2314968651. The cubic root of 23806900 is about 287.6742233229.

The spelling of 23806900 in words is "twenty-three million, eight hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 18313 36626 73252 91565 183130 238069 366260 457825 476138 915650 952276 1190345 1831300 2380690 4761380 5951725 11903450 23806900