Base | Representation |
---|---|
bin | 101101011100… |
… | …1101010100100 |
3 | 1122211122110100 |
4 | 1122321222210 |
5 | 22100013111 |
6 | 2210424100 |
7 | 406354521 |
oct | 132715244 |
9 | 48748410 |
10 | 23829156 |
11 | 124a621a |
12 | 7b92030 |
13 | 4c242c0 |
14 | 3244148 |
15 | 215a756 |
hex | 16b9aa4 |
23829156 has 72 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 7199424.
The previous prime is 23829107. The next prime is 23829161. The reversal of 23829156 is 65192832.
23829156 is a nontrivial binomial coefficient, being equal to C(6904, 2).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 23829156.
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 23 ways as a sum of consecutive naturals, for example, 27181 + ... + 28043.
It is an arithmetic number, because the mean of its divisors is an integer number (917280).
Almost surely, 223829156 is an apocalyptic number.
23829156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.
23829156 is the 6903-rd triangular number and also the 3452-nd hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23829156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).
23829156 is an abundant number, since it is smaller than the sum of its proper divisors (42215004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23829156 is a wasteful number, since it uses less digits than its factorization.
23829156 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 945 (or 940 counting only the distinct ones).
The product of its digits is 25920, while the sum is 36.
The square root of 23829156 is about 4881.5116511179. The cubic root of 23829156 is about 287.7638399665.
The spelling of 23829156 in words is "twenty-three million, eight hundred twenty-nine thousand, one hundred fifty-six".
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