Base | Representation |
---|---|
bin | 1000001011000010000000 |
3 | 11000211201210 |
4 | 20023002000 |
5 | 1022023321 |
6 | 113530120 |
7 | 24131610 |
oct | 10130200 |
9 | 4024653 |
10 | 2142336 |
11 | 1233629 |
12 | 873940 |
13 | 5a0171 |
14 | 3daa40 |
15 | 2c4b76 |
hex | 20b080 |
2142336 has 64 divisors (see below), whose sum is σ = 6511680. Its totient is φ = 611328.
The previous prime is 2142299. The next prime is 2142341. The reversal of 2142336 is 6332412.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2290 + ... + 3086.
It is an arithmetic number, because the mean of its divisors is an integer number (101745).
22142336 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 2142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255840).
2142336 is an abundant number, since it is smaller than the sum of its proper divisors (4369344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142336 is an equidigital number, since it uses as much as digits as its factorization.
2142336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 821 (or 809 counting only the distinct ones).
The product of its digits is 864, while the sum is 21.
The square root of 2142336 is about 1463.6720944255. The cubic root of 2142336 is about 128.9127467176.
Adding to 2142336 its reverse (6332412), we get a palindrome (8474748).
The spelling of 2142336 in words is "two million, one hundred forty-two thousand, three hundred thirty-six".
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