Base | Representation |
---|---|
bin | 101101010000… |
… | …1001000101000 |
3 | 1122122112122000 |
4 | 1122201020220 |
5 | 22033304210 |
6 | 2204331000 |
7 | 405455553 |
oct | 132411050 |
9 | 48575560 |
10 | 23728680 |
11 | 12437788 |
12 | 7b43a60 |
13 | 4bba651 |
14 | 321969a |
15 | 213aac0 |
hex | 16a1228 |
23728680 has 128 divisors (see below), whose sum is σ = 80179200. Its totient is φ = 6241536.
The previous prime is 23728673. The next prime is 23728681. The reversal of 23728680 is 8682732.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (23728681) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137074 + ... + 137246.
It is an arithmetic number, because the mean of its divisors is an integer number (626400).
Almost surely, 223728680 is an apocalyptic number.
23728680 is a gapful number since it is divisible by the number (20) 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 23728680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40089600).
23728680 is an abundant number, since it is smaller than the sum of its proper divisors (56450520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23728680 is a wasteful number, since it uses less digits than its factorization.
23728680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 320 (or 310 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 23728680 is about 4871.2092954419. The cubic root of 23728680 is about 287.3588166284.
The spelling of 23728680 in words is "twenty-three million, seven hundred twenty-eight thousand, six hundred eighty".
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