Base | Representation |
---|---|
bin | 101011111000… |
… | …0010101000000 |
3 | 1121021202012210 |
4 | 1113300111000 |
5 | 21342120410 |
6 | 2141022120 |
7 | 366351312 |
oct | 127602500 |
9 | 47252183 |
10 | 23004480 |
11 | 11a92674 |
12 | 7854940 |
13 | 49c5b25 |
14 | 30ab7b2 |
15 | 2046220 |
hex | 15f0540 |
23004480 has 112 divisors (see below), whose sum is σ = 75492864. Its totient is φ = 5928960.
The previous prime is 23004469. The next prime is 23004481. The reversal of 23004480 is 8440032.
It is a happy number.
It is a super-3 number, since 3×230044803 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a zygodrome in base 4.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23004481) 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, 29374 + ... + 30146.
Almost surely, 223004480 is an apocalyptic number.
23004480 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 23004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37746432).
23004480 is an abundant number, since it is smaller than the sum of its proper divisors (52488384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23004480 is a wasteful number, since it uses less digits than its factorization.
23004480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 824 (or 814 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
The square root of 23004480 is about 4796.2985728580. The cubic root of 23004480 is about 284.4051613141.
The spelling of 23004480 in words is "twenty-three million, four thousand, four hundred eighty".
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