| Base | Representation |
|---|---|
| bin | 1001001010010001010000 |
| 3 | 11112000001021 |
| 4 | 21022101100 |
| 5 | 1103320420 |
| 6 | 123245224 |
| 7 | 26261023 |
| oct | 11122120 |
| 9 | 4460037 |
| 10 | 2401360 |
| 11 | 13a01a5 |
| 12 | 979814 |
| 13 | 661030 |
| 14 | 4671ba |
| 15 | 3267aa |
| hex | 24a450 |
2401360 has 40 divisors (see below), whose sum is σ = 6015240. Its totient is φ = 886272.
The previous prime is 2401339. The next prime is 2401367. The reversal of 2401360 is 631042.
It can be written as a sum of positive squares in 4 ways, for example, as 222784 + 2178576 = 472^2 + 1476^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2401367) 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 7 ways as a sum of consecutive naturals, for example, 115 + ... + 2194.
It is an arithmetic number, because the mean of its divisors is an integer number (150381).
22401360 is an apocalyptic number.
2401360 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 2401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007620).
2401360 is an abundant number, since it is smaller than the sum of its proper divisors (3613880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2401360 is a wasteful number, since it uses less digits than its factorization.
2401360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2335 (or 2329 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 2401360 is about 1549.6322144302. The cubic root of 2401360 is about 133.9118749302.
It can be divided in two parts, 240 and 1360, that added together give a square (1600 = 402).
The spelling of 2401360 in words is "two million, four hundred one thousand, three hundred sixty".
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