Search a number
-
+
20540104584 = 23319359125471
BaseRepresentation
bin10011001000010010…
…010001111110001000
31222000110211102110020
4103020102101332020
5314031231321314
613234101420440
71325001002556
oct231022217610
958013742406
1020540104584
11879039864a
123b92a0a720
131c2456204c
14dcbd1abd6
158033a6da9
hex4c8491f88

20540104584 has 64 divisors (see below), whose sum is σ = 54203904000. Its totient is φ = 6468229440.

The previous prime is 20540104583. The next prime is 20540104619. The reversal of 20540104584 is 48540104502.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20540104583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100969 + ... + 226439.

It is an arithmetic number, because the mean of its divisors is an integer number (846936000).

Almost surely, 220540104584 is an apocalyptic number.

20540104584 is a gapful number since it is divisible by the number (24) 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 20540104584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27101952000).

20540104584 is an abundant number, since it is smaller than the sum of its proper divisors (33663799416).

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

20540104584 is a wasteful number, since it uses less digits than its factorization.

20540104584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125858 (or 125854 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 20540104584 in words is "twenty billion, five hundred forty million, one hundred four thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 359 456 718 1077 1436 2154 2872 4308 6821 8616 13642 20463 27284 40926 54568 81852 125471 163704 250942 376413 501884 752826 1003768 1505652 2383949 3011304 4767898 7151847 9535796 14303694 19071592 28607388 45044089 57214776 90088178 135132267 180176356 270264534 360352712 540529068 855837691 1081058136 1711675382 2567513073 3423350764 5135026146 6846701528 10270052292 20540104584