Search a number
-
+
563615140 = 225113836689
BaseRepresentation
bin100001100110000…
…001010110100100
31110021112121121211
4201212001112210
52123241141030
6131532121204
716652435554
oct4146012644
91407477554
10563615140
1126a167440
12138906204
138c9c96aa
1454bd5164
153473212a
hex219815a4

563615140 has 48 divisors (see below), whose sum is σ = 1294755840. Its totient is φ = 204385280.

The previous prime is 563615137. The next prime is 563615149. The reversal of 563615140 is 41516365.

It is not an unprimeable number, because it can be changed into a prime (563615149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80916 + ... + 87604.

It is an arithmetic number, because the mean of its divisors is an integer number (26974080).

Almost surely, 2563615140 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 563615140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647377920).

563615140 is an abundant number, since it is smaller than the sum of its proper divisors (731140700).

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

563615140 is a wasteful number, since it uses less digits than its factorization.

563615140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7092 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 563615140 is about 23740.5800266127. The cubic root of 563615140 is about 826.0269500907.

The spelling of 563615140 in words is "five hundred sixty-three million, six hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 383 766 1532 1915 3830 4213 6689 7660 8426 13378 16852 21065 26756 33445 42130 66890 73579 84260 133780 147158 294316 367895 735790 1471580 2561887 5123774 10247548 12809435 25618870 28180757 51237740 56361514 112723028 140903785 281807570 563615140