Search a number
-
+
20561664 = 28341653
BaseRepresentation
bin100111001101…
…1111100000000
31102200122022010
41032123330000
520230433124
62012412520
7336525354
oct116337400
942618263
1020561664
1110674312
126a77140
13434bc86
142a33464
151c12529
hex139bf00

20561664 has 72 divisors (see below), whose sum is σ = 56144592. Its totient is φ = 6676480.

The previous prime is 20561663. The next prime is 20561683. The reversal of 20561664 is 46616502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20561663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31162 + ... + 31814.

It is an arithmetic number, because the mean of its divisors is an integer number (779786).

Almost surely, 220561664 is an apocalyptic number.

20561664 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 20561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28072296).

20561664 is an abundant number, since it is smaller than the sum of its proper divisors (35582928).

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

20561664 is an equidigital number, since it uses as much as digits as its factorization.

20561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 20561664 is about 4534.4971055234. The cubic root of 20561664 is about 273.9593240629.

The spelling of 20561664 in words is "twenty million, five hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 653 656 768 984 1306 1312 1959 1968 2612 2624 3918 3936 5224 5248 7836 7872 10448 10496 15672 15744 20896 26773 31344 31488 41792 53546 62688 80319 83584 107092 125376 160638 167168 214184 250752 321276 428368 501504 642552 856736 1285104 1713472 2570208 3426944 5140416 6853888 10280832 20561664