Base | Representation |
---|---|
bin | 1000000011111001010000 |
3 | 10222100122010 |
4 | 20003321100 |
5 | 1020104404 |
6 | 113142520 |
7 | 23650440 |
oct | 10037120 |
9 | 3870563 |
10 | 2113104 |
11 | 1213674 |
12 | 85aa40 |
13 | 58ca76 |
14 | 3d0120 |
15 | 2bb189 |
hex | 203e50 |
2113104 has 80 divisors (see below), whose sum is σ = 6586880. Its totient is φ = 570240.
The previous prime is 2113091. The next prime is 2113109. The reversal of 2113104 is 4013112.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 2113104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2113109) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6219 + ... + 6549.
It is an arithmetic number, because the mean of its divisors is an integer number (82336).
22113104 is an apocalyptic number.
2113104 is a gapful number since it is divisible by the number (24) 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 2113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293440).
2113104 is an abundant number, since it is smaller than the sum of its proper divisors (4473776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2113104 is a wasteful number, since it uses less digits than its factorization.
2113104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 368 (or 362 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 2113104 is about 1453.6519528415. The cubic root of 2113104 is about 128.3237248480.
Adding to 2113104 its reverse (4013112), we get a palindrome (6126216).
The spelling of 2113104 in words is "two million, one hundred thirteen thousand, one hundred four".
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