Search a number
-
+
1020521424 = 243131725659
BaseRepresentation
bin111100110100111…
…110101111010000
32122010021212012210
4330310332233100
54042223141144
6245133152120
734201201056
oct7464765720
92563255183
101020521424
1148406a93a
1224592b640
13133573a40
14997701d6
155e8d6ab9
hex3cd3ebd0

1020521424 has 120 divisors (see below), whose sum is σ = 3016508320. Its totient is φ = 295483392.

The previous prime is 1020521417. The next prime is 1020521429. The reversal of 1020521424 is 4241250201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020521424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020521429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177507 + ... + 183165.

Almost surely, 21020521424 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 1020521424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508254160).

1020521424 is an abundant number, since it is smaller than the sum of its proper divisors (1995986896).

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

1020521424 is a wasteful number, since it uses less digits than its factorization.

1020521424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1020521424 is about 31945.6010117199. The cubic root of 1020521424 is about 1006.7942088497.

Adding to 1020521424 its reverse (4241250201), we get a palindrome (5261771625).

The spelling of 1020521424 in words is "one billion, twenty million, five hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 289 312 408 442 578 624 663 816 867 884 1156 1326 1734 1768 2312 2652 3468 3536 3757 4624 5304 5659 6936 7514 10608 11271 11318 13872 15028 16977 22542 22636 30056 33954 45084 45272 60112 67908 73567 90168 90544 96203 135816 147134 180336 192406 220701 271632 288609 294268 384812 441402 577218 588536 769624 882804 1154436 1177072 1250639 1539248 1635451 1765608 2308872 2501278 3270902 3531216 3751917 4617744 4906353 5002556 6541804 7503834 9812706 10005112 13083608 15007668 19625412 20010224 21260863 26167216 30015336 39250824 42521726 60030672 63782589 78501648 85043452 127565178 170086904 255130356 340173808 510260712 1020521424