Base | Representation |
---|---|
bin | 1011001111010001010100 |
3 | 12112200100000 |
4 | 23033101110 |
5 | 1223234012 |
6 | 143051300 |
7 | 34020210 |
oct | 13172124 |
9 | 5480300 |
10 | 2946132 |
11 | 1732522 |
12 | ba0b30 |
13 | 7c1c97 |
14 | 569940 |
15 | 3d2ddc |
hex | 2cf454 |
2946132 has 72 divisors (see below), whose sum is σ = 8846656. Its totient is φ = 839808.
The previous prime is 2946131. The next prime is 2946133. The reversal of 2946132 is 2316492.
2946132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2946131) and next prime (2946133).
It is a super-2 number, since 2×29461322 = 17359387522848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2946096 and 2946105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2946131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6588 + ... + 7020.
22946132 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 2946132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423328).
2946132 is an abundant number, since it is smaller than the sum of its proper divisors (5900524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2946132 is a wasteful number, since it uses less digits than its factorization.
2946132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 459 (or 445 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 2946132 is about 1716.4300160508. The cubic root of 2946132 is about 143.3565036757.
The spelling of 2946132 in words is "two million, nine hundred forty-six thousand, one hundred thirty-two".
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