Base | Representation |
---|---|
bin | 1000001011000110101100 |
3 | 11000212010220 |
4 | 20023012230 |
5 | 1022031021 |
6 | 113531340 |
7 | 24132516 |
oct | 10130654 |
9 | 4025126 |
10 | 2142636 |
11 | 1233881 |
12 | 873b50 |
13 | 5a0342 |
14 | 3dabb6 |
15 | 2c4cc6 |
hex | 20b1ac |
2142636 has 48 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 669760.
The previous prime is 2142601. The next prime is 2142641. The reversal of 2142636 is 6362412.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16291 + ... + 16421.
It is an arithmetic number, because the mean of its divisors is an integer number (110880).
22142636 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 2142636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).
2142636 is an abundant number, since it is smaller than the sum of its proper divisors (3179604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142636 is a wasteful number, since it uses less digits than its factorization.
2142636 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 214 (or 212 counting only the distinct ones).
The product of its digits is 1728, while the sum is 24.
The square root of 2142636 is about 1463.7745728083. The cubic root of 2142636 is about 128.9187638283.
It can be divided in two parts, 214 and 2636, that added together give a triangular number (2850 = T75).
The spelling of 2142636 in words is "two million, one hundred forty-two thousand, six hundred thirty-six".
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