Base | Representation |
---|---|
bin | 111110101100011011000 |
3 | 10212101001102 |
4 | 13311203120 |
5 | 1011214420 |
6 | 112010532 |
7 | 23314250 |
oct | 7654330 |
9 | 3771042 |
10 | 2054360 |
11 | 1183520 |
12 | 830a48 |
13 | 56c0c9 |
14 | 3b6960 |
15 | 2a8a75 |
hex | 1f58d8 |
2054360 has 128 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 591360.
The previous prime is 2054347. The next prime is 2054369. The reversal of 2054360 is 634502.
2054360 = T1 + T2 + ... + T230.
2054360 is a nontrivial binomial coefficient, being equal to C(232, 3).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a nialpdrome in base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2054369) by changing a digit.
It is the 230-th tetrahedral number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70826 + ... + 70854.
It is an arithmetic number, because the mean of its divisors is an integer number (48600).
22054360 is an apocalyptic number.
2054360 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 2054360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).
2054360 is an abundant number, since it is smaller than the sum of its proper divisors (4166440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2054360 is a wasteful number, since it uses less digits than its factorization.
2054360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 81 (or 77 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
The square root of 2054360 is about 1433.3038756663. The cubic root of 2054360 is about 127.1234049632.
Adding to 2054360 its reverse (634502), we get a palindrome (2688862).
The spelling of 2054360 in words is "two million, fifty-four thousand, three hundred sixty".
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