Base | Representation |
---|---|
bin | 1001001111000011101000 |
3 | 11112222221111 |
4 | 21033003220 |
5 | 1104432333 |
6 | 123520104 |
7 | 26402134 |
oct | 11170350 |
9 | 4488844 |
10 | 2420968 |
11 | 1403a00 |
12 | 989034 |
13 | 669c34 |
14 | 4703c4 |
15 | 32c4cd |
hex | 24f0e8 |
2420968 has 48 divisors (see below), whose sum is σ = 5194980. Its totient is φ = 1056000.
The previous prime is 2420959. The next prime is 2420969. The reversal of 2420968 is 8690242.
2420968 is nontrivially palindromic in base 3 and base 9.
It can be written as a sum of positive squares in 2 ways, for example, as 1684804 + 736164 = 1298^2 + 858^2 .
It is a super-2 number, since 2×24209682 = 11722172114048, which contains 22 as substring.
It is a zygodrome in base 3 and base 9.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2420969) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39658 + ... + 39718.
22420968 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 2420968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597490).
2420968 is an abundant number, since it is smaller than the sum of its proper divisors (2774012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2420968 is a wasteful number, since it uses less digits than its factorization.
2420968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 130 (or 115 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 31.
The square root of 2420968 is about 1555.9460144876. The cubic root of 2420968 is about 134.2753675013.
The spelling of 2420968 in words is "two million, four hundred twenty thousand, nine hundred sixty-eight".
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