Base | Representation |
---|---|
bin | 101101000110… |
… | …101100011100 |
3 | 211020201100020 |
4 | 231012230130 |
5 | 11011331100 |
6 | 1101232140 |
7 | 202334004 |
oct | 55065434 |
9 | 24221306 |
10 | 11823900 |
11 | 6746520 |
12 | 3b62650 |
13 | 25acaba |
14 | 17db004 |
15 | 10885a0 |
hex | b46b1c |
11823900 has 72 divisors (see below), whose sum is σ = 37330944. Its totient is φ = 2865600.
The previous prime is 11823899. The next prime is 11823907. The reversal of 11823900 is 932811.
11823900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×118239002 = 279609222420000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11823907) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1509 + ... + 5091.
Almost surely, 211823900 is an apocalyptic number.
11823900 is a gapful number since it is divisible by the number (10) 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 11823900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665472).
11823900 is an abundant number, since it is smaller than the sum of its proper divisors (25507044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11823900 is a wasteful number, since it uses less digits than its factorization.
11823900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3611 (or 3604 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 24.
The square root of 11823900 is about 3438.5898272402. The cubic root of 11823900 is about 227.8174130688.
The spelling of 11823900 in words is "eleven million, eight hundred twenty-three thousand, nine hundred".
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