Base | Representation |
---|---|
bin | 101101000001… |
… | …0110100000000 |
3 | 1122102020021000 |
4 | 1122002310000 |
5 | 22020320410 |
6 | 2201532000 |
7 | 404430504 |
oct | 132026400 |
9 | 48366230 |
10 | 23604480 |
11 | 12362439 |
12 | 7aa4000 |
13 | 4b75c63 |
14 | 31c6304 |
15 | 2113dc0 |
hex | 1682d00 |
23604480 has 144 divisors (see below), whose sum is σ = 83885760. Its totient is φ = 6285312.
The previous prime is 23604473. The next prime is 23604487. The reversal of 23604480 is 8440632.
It is an interprime number because it is at equal distance from previous prime (23604473) and next prime (23604487).
It is a tau number, because it is divible by the number of its divisors (144).
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 (23604487) 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, 34219 + ... + 34901.
It is an arithmetic number, because the mean of its divisors is an integer number (582540).
Almost surely, 223604480 is an apocalyptic number.
23604480 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 23604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41942880).
23604480 is an abundant number, since it is smaller than the sum of its proper divisors (60281280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23604480 is an equidigital number, since it uses as much as digits as its factorization.
23604480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 713 (or 693 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 23604480 is about 4858.4441954189. Note that the first 3 decimals coincide. The cubic root of 23604480 is about 286.8565774833.
The spelling of 23604480 in words is "twenty-three million, six hundred four thousand, four hundred eighty".
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