Search a number
-
+
20324928 = 2631317479
BaseRepresentation
bin100110110001…
…0001001000000
31102020121120010
41031202021000
520200344203
62003344520
7334521231
oct115421100
942217503
1020324928
1110522468
126982140
1342982b0
1429b1088
151bb7303
hex1362240

20324928 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 5873664.

The previous prime is 20324923. The next prime is 20324929. The reversal of 20324928 is 82942302.

It is a junction number, because it is equal to n+sod(n) for n = 20324895 and 20324904.

It is not an unprimeable number, because it can be changed into a prime (20324921) 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, 42193 + ... + 42671.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 220324928 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 20324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

20324928 is an abundant number, since it is smaller than the sum of its proper divisors (41122752).

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

20324928 is a wasteful number, since it uses less digits than its factorization.

20324928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 20324928 is about 4508.3176463067. The cubic root of 20324928 is about 272.9038559053.

The spelling of 20324928 in words is "twenty million, three hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 479 544 624 663 816 832 884 958 1088 1248 1326 1437 1632 1768 1916 2496 2652 2874 3264 3536 3832 5304 5748 6227 7072 7664 8143 10608 11496 12454 14144 15328 16286 18681 21216 22992 24429 24908 30656 32572 37362 42432 45984 48858 49816 65144 74724 91968 97716 99632 105859 130288 149448 195432 199264 211718 260576 298896 317577 390864 398528 423436 521152 597792 635154 781728 846872 1195584 1270308 1563456 1693744 2540616 3387488 5081232 6774976 10162464 20324928