Base | Representation |
---|---|
bin | 101011111001… |
… | …0010001001000 |
3 | 1121022011010000 |
4 | 1113302101020 |
5 | 21342344144 |
6 | 2141123000 |
7 | 366413421 |
oct | 127622110 |
9 | 47264100 |
10 | 23012424 |
11 | 11a98636 |
12 | 7859460 |
13 | 49c9626 |
14 | 30b0648 |
15 | 2048769 |
hex | 15f2448 |
23012424 has 80 divisors (see below), whose sum is σ = 68280300. Its totient is φ = 7216128.
The previous prime is 23012411. The next prime is 23012453. The reversal of 23012424 is 42421032.
23012424 is a `hidden beast` number, since 230 + 12 + 424 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 20088324 + 2924100 = 4482^2 + 1710^2 .
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 = 23012397 and 23012406.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9972 + ... + 12060.
Almost surely, 223012424 is an apocalyptic number.
23012424 is a gapful number since it is divisible by the number (24) 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 23012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34140150).
23012424 is an abundant number, since it is smaller than the sum of its proper divisors (45267876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23012424 is a wasteful number, since it uses less digits than its factorization.
23012424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2124 (or 2111 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 23012424 is about 4797.1266399794. The cubic root of 23012424 is about 284.4378948597.
Adding to 23012424 its reverse (42421032), we get a palindrome (65433456).
It can be divided in two parts, 23012 and 424, that added together give a triangular number (23436 = T216).
The spelling of 23012424 in words is "twenty-three million, twelve thousand, four hundred twenty-four".
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