Search a number
-
+
20513556 = 22327229401
BaseRepresentation
bin100111001000…
…0001100010100
31102121012022100
41032100030110
520222413211
62011402100
7336235200
oct116201424
942535270
1020513556
1110641158
126a53330
1343330cb
142a1db00
151c03156
hex1390314

20513556 has 108 divisors (see below), whose sum is σ = 62555220. Its totient is φ = 5644800.

The previous prime is 20513551. The next prime is 20513557. The reversal of 20513556 is 65531502.

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 3572100 = 4116^2 + 1890^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20513551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50956 + ... + 51356.

It is an arithmetic number, because the mean of its divisors is an integer number (579215).

Almost surely, 220513556 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 20513556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31277610).

20513556 is an abundant number, since it is smaller than the sum of its proper divisors (42041664).

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

20513556 is a wasteful number, since it uses less digits than its factorization.

20513556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 20513556 is about 4529.1893314367. The cubic root of 20513556 is about 273.7454968922.

The spelling of 20513556 in words is "twenty million, five hundred thirteen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 401 406 441 522 588 609 802 812 882 1044 1203 1218 1421 1604 1764 1827 2406 2436 2807 2842 3609 3654 4263 4812 5614 5684 7218 7308 8421 8526 11228 11629 12789 14436 16842 17052 19649 23258 25263 25578 33684 34887 39298 46516 50526 51156 58947 69774 78596 81403 101052 104661 117894 139548 162806 176841 209322 235788 244209 325612 353682 418644 488418 569821 707364 732627 976836 1139642 1465254 1709463 2279284 2930508 3418926 5128389 6837852 10256778 20513556