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1036013264 = 241113261571
BaseRepresentation
bin111101110000000…
…100111011010000
32200012102221000122
4331300010323100
54110204411024
6250445205412
734446652556
oct7560047320
92605387018
101036013264
11491891110
1224ab60868
13136839200
149b843bd6
1560e46d5e
hex3dc04ed0

1036013264 has 120 divisors (see below), whose sum is σ = 2414247264. Its totient is φ = 426816000.

The previous prime is 1036013239. The next prime is 1036013291. The reversal of 1036013264 is 4623106301.

It is a super-3 number, since 3×10360132643 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1814099 + ... + 1814669.

Almost surely, 21036013264 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 1036013264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207123632).

1036013264 is an abundant number, since it is smaller than the sum of its proper divisors (1378234000).

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

1036013264 is a wasteful number, since it uses less digits than its factorization.

1036013264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1036013264 is about 32187.1599244171. The cubic root of 1036013264 is about 1011.8631309428.

Adding to 1036013264 its reverse (4623106301), we get a palindrome (5659119565).

The spelling of 1036013264 in words is "one billion, thirty-six million, thirteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 61 88 104 122 143 169 176 208 244 286 338 488 571 572 671 676 793 976 1142 1144 1342 1352 1586 1859 2284 2288 2684 2704 3172 3718 4568 5368 6281 6344 7423 7436 8723 9136 10309 10736 12562 12688 14846 14872 17446 20618 25124 29692 29744 34831 34892 41236 50248 59384 69662 69784 81653 82472 96499 100496 113399 118768 139324 139568 163306 164944 192998 226798 278648 326612 383141 385996 452803 453596 557296 653224 766282 771992 905606 907192 1061489 1306448 1532564 1543984 1811212 1814384 2122978 3065128 3622424 4245956 4980833 5886439 6130256 7244848 8491912 9961666 11772878 16983824 19923332 23545756 39846664 47091512 64750829 79693328 94183024 129501658 259003316 518006632 1036013264