Base | Representation |
---|---|
bin | 101100000100… |
… | …1000001011100 |
3 | 1121110212222000 |
4 | 1120021001130 |
5 | 21403340003 |
6 | 2143122300 |
7 | 400252230 |
oct | 130110134 |
9 | 47425860 |
10 | 23105628 |
11 | 12051667 |
12 | 78a3390 |
13 | 4a2cb90 |
14 | 30d65c0 |
15 | 20661a3 |
hex | 160905c |
23105628 has 96 divisors (see below), whose sum is σ = 73758720. Its totient is φ = 6091200.
The previous prime is 23105627. The next prime is 23105629. The reversal of 23105628 is 82650132.
23105628 is a `hidden beast` number, since 2 + 31 + 0 + 5 + 628 = 666.
It is an interprime number because it is at equal distance from previous prime (23105627) and next prime (23105629).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23105627) 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, 8653 + ... + 11003.
It is an arithmetic number, because the mean of its divisors is an integer number (768320).
Almost surely, 223105628 is an apocalyptic number.
23105628 is a gapful number since it is divisible by the number (28) 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 23105628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36879360).
23105628 is an abundant number, since it is smaller than the sum of its proper divisors (50653092).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23105628 is a wasteful number, since it uses less digits than its factorization.
23105628 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2384 (or 2376 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 23105628 is about 4806.8313887633. The cubic root of 23105628 is about 284.8213839254.
The spelling of 23105628 in words is "twenty-three million, one hundred five thousand, six hundred twenty-eight".
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