| Base | Representation |
|---|---|
| bin | 1010001001101100000000 |
| 3 | 12000012101000 |
| 4 | 22021230000 |
| 5 | 1140123440 |
| 6 | 133012000 |
| 7 | 31422240 |
| oct | 12115400 |
| 9 | 5005330 |
| 10 | 2661120 |
| 11 | 1558380 |
| 12 | a84000 |
| 13 | 722337 |
| 14 | 4d3b20 |
| 15 | 378730 |
| hex | 289b00 |
2661120 has 288 divisors, whose sum is σ = 11773440. Its totient is φ = 552960.
The previous prime is 2661119. The next prime is 2661137. The reversal of 2661120 is 211662.
It is a happy number.
2661120 is a `hidden beast` number, since 2 + 661 + 1 + 2 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 2661093 and 2661102.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241915 + ... + 241925.
It is an arithmetic number, because the mean of its divisors is an integer number (40880).
22661120 is an apocalyptic number.
2661120 is a gapful number since it is divisible by the number (20) 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 2661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886720).
2661120 is an abundant number, since it is smaller than the sum of its proper divisors (9112320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2661120 is a wasteful number, since it uses less digits than its factorization.
2661120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48 (or 28 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 2661120 is about 1631.2939649248. The cubic root of 2661120 is about 138.5760420350.
Adding to 2661120 its reverse (211662), we get a palindrome (2872782).
The spelling of 2661120 in words is "two million, six hundred sixty-one thousand, one hundred twenty".
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