Base | Representation |
---|---|
bin | 1010000100100010011000 |
3 | 11222010102200 |
4 | 22010202120 |
5 | 1133440044 |
6 | 132330200 |
7 | 31303602 |
oct | 12044230 |
9 | 4863380 |
10 | 2640024 |
11 | 1543542 |
12 | a73960 |
13 | 71585a |
14 | 4ca172 |
15 | 372369 |
hex | 284898 |
2640024 has 48 divisors (see below), whose sum is σ = 7350720. Its totient is φ = 855360.
The previous prime is 2640023. The next prime is 2640041. The reversal of 2640024 is 4200462.
2640024 is a `hidden beast` number, since 2 + 640 + 0 + 24 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 5.
It is a junction number, because it is equal to n+sod(n) for n = 2639979 and 2640006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2640023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2169 + ... + 3159.
It is an arithmetic number, because the mean of its divisors is an integer number (153140).
22640024 is an apocalyptic number.
2640024 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 2640024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675360).
2640024 is an abundant number, since it is smaller than the sum of its proper divisors (4710696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2640024 is a wasteful number, since it uses less digits than its factorization.
2640024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1040 (or 1033 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2640024 is about 1624.8150663999. The cubic root of 2640024 is about 138.2088834125.
Adding to 2640024 its reverse (4200462), we get a palindrome (6840486).
The spelling of 2640024 in words is "two million, six hundred forty thousand, twenty-four".
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