Base | Representation |
---|---|
bin | 1000001010111101010100 |
3 | 11000211022200 |
4 | 20022331110 |
5 | 1022021121 |
6 | 113524500 |
7 | 24131001 |
oct | 10127524 |
9 | 4024280 |
10 | 2142036 |
11 | 1233386 |
12 | 873730 |
13 | 59cca0 |
14 | 3da8a8 |
15 | 2c4a26 |
hex | 20af54 |
2142036 has 72 divisors (see below), whose sum is σ = 6115200. Its totient is φ = 627264.
The previous prime is 2142029. The next prime is 2142037. The reversal of 2142036 is 6302412.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a d-powerful number, because it can be written as 215 + 1 + 46 + 221 + 0 + 35 + 65 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2142037) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10665 + ... + 10863.
22142036 is an apocalyptic number.
2142036 is a gapful number since it is divisible by the number (26) 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 2142036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057600).
2142036 is an abundant number, since it is smaller than the sum of its proper divisors (3973164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142036 is a wasteful number, since it uses less digits than its factorization.
2142036 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 245 (or 240 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2142036 is about 1463.5696088673. The cubic root of 2142036 is about 128.9067290451.
Adding to 2142036 its reverse (6302412), we get a palindrome (8444448).
The spelling of 2142036 in words is "two million, one hundred forty-two thousand, thirty-six".
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