Base | Representation |
---|---|
bin | 101100000100… |
… | …0000111100000 |
3 | 1121110200212200 |
4 | 1120020013200 |
5 | 21403230140 |
6 | 2143053200 |
7 | 400235352 |
oct | 130100740 |
9 | 47420780 |
10 | 23101920 |
11 | 120498a6 |
12 | 78a1200 |
13 | 4a2b29a |
14 | 30d50d2 |
15 | 2065030 |
hex | 16081e0 |
23101920 has 144 divisors (see below), whose sum is σ = 80432352. Its totient is φ = 6036480.
The previous prime is 23101889. The next prime is 23101921. The reversal of 23101920 is 2910132.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 23101893 and 23101902.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23101921) 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, 87709 + ... + 87971.
It is an arithmetic number, because the mean of its divisors is an integer number (558558).
Almost surely, 223101920 is an apocalyptic number.
23101920 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 23101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216176).
23101920 is an abundant number, since it is smaller than the sum of its proper divisors (57330432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23101920 is a wasteful number, since it uses less digits than its factorization.
23101920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 345 (or 334 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 23101920 is about 4806.4456722198. The cubic root of 23101920 is about 284.8061470289.
The spelling of 23101920 in words is "twenty-three million, one hundred one thousand, nine hundred twenty".
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