Base | Representation |
---|---|
bin | 101011111000… |
… | …0001111101100 |
3 | 1121021201202012 |
4 | 1113300033230 |
5 | 21342113030 |
6 | 2141020352 |
7 | 366350315 |
oct | 127601754 |
9 | 47251665 |
10 | 23004140 |
11 | 11a92395 |
12 | 78546b8 |
13 | 49c5923 |
14 | 30ab60c |
15 | 2046095 |
hex | 15f03ec |
23004140 has 48 divisors (see below), whose sum is σ = 51625728. Its totient is φ = 8589504.
The previous prime is 23004127. The next prime is 23004143. The reversal of 23004140 is 4140032.
23004140 is a modest number, since divided by 4140 gives 2300 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23004143) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19199 + ... + 20361.
It is an arithmetic number, because the mean of its divisors is an integer number (1075536).
Almost surely, 223004140 is an apocalyptic number.
23004140 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 23004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25812864).
23004140 is an abundant number, since it is smaller than the sum of its proper divisors (28621588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23004140 is a wasteful number, since it uses less digits than its factorization.
23004140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 23004140 is about 4796.2631287284. The cubic root of 23004140 is about 284.4037601633.
Adding to 23004140 its reverse (4140032), we get a palindrome (27144172).
The spelling of 23004140 in words is "twenty-three million, four thousand, one hundred forty".
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