Base | Representation |
---|---|
bin | 1001111101011101100100 |
3 | 11220122200100 |
4 | 21331131210 |
5 | 1132023134 |
6 | 131544100 |
7 | 31123242 |
oct | 11753544 |
9 | 4818610 |
10 | 2611044 |
11 | 1523797 |
12 | a5b030 |
13 | 7055c7 |
14 | 4bd792 |
15 | 368999 |
hex | 27d764 |
2611044 has 72 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 806400.
The previous prime is 2611043. The next prime is 2611051. The reversal of 2611044 is 4401162.
It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 2528100 = 288^2 + 1590^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a plaindrome in base 15.
It is not an unprimeable number, because it can be changed into a prime (2611043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42774 + ... + 42834.
It is an arithmetic number, because the mean of its divisors is an integer number (98735).
22611044 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 2611044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).
2611044 is an abundant number, since it is smaller than the sum of its proper divisors (4497876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2611044 is a wasteful number, since it uses less digits than its factorization.
2611044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 141 (or 136 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2611044 is about 1615.8725197243. The cubic root of 2611044 is about 137.7013073353.
It can be divided in two parts, 261 and 1044, that multiplied together give a square (272484 = 5222).
The spelling of 2611044 in words is "two million, six hundred eleven thousand, forty-four".
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