Base | Representation |
---|---|
bin | 101110000000… |
… | …1001010100100 |
3 | 1200101112012011 |
4 | 1130001022210 |
5 | 22133401040 |
6 | 2221004004 |
7 | 412014406 |
oct | 134011244 |
9 | 50345164 |
10 | 24122020 |
11 | 1268625a |
12 | 80b3604 |
13 | 4cc76b0 |
14 | 32bcb76 |
15 | 21b73ea |
hex | 17012a4 |
24122020 has 72 divisors (see below), whose sum is σ = 57799224. Its totient is φ = 8404992.
The previous prime is 24122017. The next prime is 24122081. The reversal of 24122020 is 2022142.
It can be written as a sum of positive squares in 4 ways, for example, as 4691556 + 19430464 = 2166^2 + 4408^2 .
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93732 + ... + 93988.
It is an arithmetic number, because the mean of its divisors is an integer number (802767).
Almost surely, 224122020 is an apocalyptic number.
24122020 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 24122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28899612).
24122020 is an abundant number, since it is smaller than the sum of its proper divisors (33677204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24122020 is a wasteful number, since it uses less digits than its factorization.
24122020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 317 (or 296 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
The square root of 24122020 is about 4911.4173107159. The cubic root of 24122020 is about 288.9379304207.
Adding to 24122020 its reverse (2022142), we get a palindrome (26144162).
The spelling of 24122020 in words is "twenty-four million, one hundred twenty-two thousand, twenty".
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