Base | Representation |
---|---|
bin | 101100101111… |
… | …0010000000000 |
3 | 1122010121211100 |
4 | 1121132100000 |
5 | 22001022340 |
6 | 2154414400 |
7 | 403235052 |
oct | 131362000 |
9 | 48117740 |
10 | 23454720 |
11 | 1226a973 |
12 | 7a31400 |
13 | 4b22a43 |
14 | 31878d2 |
15 | 20d4830 |
hex | 165e400 |
23454720 has 132 divisors (see below), whose sum is σ = 81429660. Its totient is φ = 6242304.
The previous prime is 23454719. The next prime is 23454727. The reversal of 23454720 is 2745432.
It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 9437184 = 3744^2 + 3072^2 .
It is not an unprimeable number, because it can be changed into a prime (23454727) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45826 + ... + 46334.
Almost surely, 223454720 is an apocalyptic number.
23454720 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 23454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40714830).
23454720 is an abundant number, since it is smaller than the sum of its proper divisors (57974940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23454720 is a wasteful number, since it uses less digits than its factorization.
23454720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 540 (or 519 counting only the distinct ones).
The product of its (nonzero) digits is 6720, while the sum is 27.
The square root of 23454720 is about 4843.0073301617. The cubic root of 23454720 is about 286.2486305179.
The spelling of 23454720 in words is "twenty-three million, four hundred fifty-four thousand, seven hundred twenty".
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