Base | Representation |
---|---|
bin | 1001001110110110110000 |
3 | 11112221210222 |
4 | 21032312300 |
5 | 1104421034 |
6 | 123512212 |
7 | 26366546 |
oct | 11166660 |
9 | 4487728 |
10 | 2420144 |
11 | 1403321 |
12 | 988668 |
13 | 66974c |
14 | 46dd96 |
15 | 32c12e |
hex | 24edb0 |
2420144 has 30 divisors (see below), whose sum is σ = 4960620. Its totient is φ = 1143648.
The previous prime is 2420123. The next prime is 2420167. The reversal of 2420144 is 4410242.
2420144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 5 ways as a sum of consecutive naturals, for example, 5567 + ... + 5985.
It is an arithmetic number, because the mean of its divisors is an integer number (165354).
22420144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480310).
2420144 is an abundant number, since it is smaller than the sum of its proper divisors (2540476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2420144 is a wasteful number, since it uses less digits than its factorization.
2420144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 465 (or 440 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 17.
The square root of 2420144 is about 1555.6812012749. The cubic root of 2420144 is about 134.2601317970.
Adding to 2420144 its reverse (4410242), we get a palindrome (6830386).
The spelling of 2420144 in words is "two million, four hundred twenty thousand, one hundred forty-four".
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