Search a number
-
+
2430540 = 223357643
BaseRepresentation
bin1001010001011001001100
311120111002000
421101121030
51110234130
6124032300
726442060
oct11213114
94514060
102430540
111410112
12992690
136713b8
14473aa0
15330260
hex25164c

2430540 has 96 divisors (see below), whose sum is σ = 8655360. Its totient is φ = 554688.

The previous prime is 2430539. The next prime is 2430551. The reversal of 2430540 is 450342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459 + ... + 4101.

It is an arithmetic number, because the mean of its divisors is an integer number (90160).

22430540 is an apocalyptic number.

2430540 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 2430540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327680).

2430540 is an abundant number, since it is smaller than the sum of its proper divisors (6224820).

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

2430540 is a wasteful number, since it uses less digits than its factorization.

2430540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2430540 is about 1559.0189222713. The cubic root of 2430540 is about 134.4521003363.

Adding to 2430540 its reverse (450342), we get a palindrome (2880882).

The spelling of 2430540 in words is "two million, four hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 643 756 945 1260 1286 1890 1929 2572 3215 3780 3858 4501 5787 6430 7716 9002 9645 11574 12860 13503 17361 18004 19290 22505 23148 27006 28935 34722 38580 40509 45010 54012 57870 67515 69444 81018 86805 90020 115740 121527 135030 162036 173610 202545 243054 270060 347220 405090 486108 607635 810180 1215270 2430540