Search a number
-
+
2440890 = 232537733
BaseRepresentation
bin1001010011111010111010
311121000021100
421103322322
51111102030
6124152230
726514204
oct11237272
94530240
102440890
111417971
12998676
1367601a
14477774
15333360
hex253eba

2440890 has 48 divisors (see below), whose sum is σ = 6526728. Its totient is φ = 632448.

The previous prime is 2440883. The next prime is 2440937. The reversal of 2440890 is 980442.

2440890 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 2424249 + 16641 = 1557^2 + 129^2 .

It is an unprimeable number.

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, 2964 + ... + 3696.

22440890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263364).

2440890 is an abundant number, since it is smaller than the sum of its proper divisors (4085838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2440890 is a wasteful number, since it uses less digits than its factorization.

2440890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2440890 is about 1562.3347912659. The cubic root of 2440890 is about 134.6426764550.

The spelling of 2440890 in words is "two million, four hundred forty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 733 1110 1466 1665 2199 3330 3665 4398 6597 7330 10995 13194 21990 27121 32985 54242 65970 81363 135605 162726 244089 271210 406815 488178 813630 1220445 2440890