Search a number
-
+
10611003260 = 225111326314107
BaseRepresentation
bin10011110000111011…
…10000111101111100
31000101111110211000202
421320131300331330
5133212404101020
64512530343032
7523644016364
oct117035607574
930344424022
1010611003260
1145556a8890
12208172aa78
131001469470
147293719a4
15421850e75
hex278770f7c

10611003260 has 96 divisors (see below), whose sum is σ = 26280156672. Its totient is φ = 3547941120.

The previous prime is 10611003251. The next prime is 10611003341. The reversal of 10611003260 is 6230011601.

It is a super-2 number, since 2×106110032602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745127 + ... + 759233.

It is an arithmetic number, because the mean of its divisors is an integer number (273751632).

Almost surely, 210611003260 is an apocalyptic number.

10611003260 is a gapful number since it is divisible by the number (10) 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 10611003260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140078336).

10611003260 is an abundant number, since it is smaller than the sum of its proper divisors (15669153412).

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

10611003260 is a wasteful number, since it uses less digits than its factorization.

10611003260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14403 (or 14401 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10611003260 its reverse (6230011601), we get a palindrome (16841014861).

The spelling of 10611003260 in words is "ten billion, six hundred eleven million, three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 263 286 526 572 715 1052 1315 1430 2630 2860 2893 3419 5260 5786 6838 11572 13676 14107 14465 17095 28214 28930 34190 37609 56428 57860 68380 70535 75218 141070 150436 155177 183391 188045 282140 310354 366782 376090 620708 733564 752180 775885 916955 1551770 1833910 2017301 3103540 3667820 3710141 4034602 7420282 8069204 10086505 14840564 18550705 20173010 37101410 40346020 40811551 48231833 74202820 81623102 96463666 163246204 192927332 204057755 241159165 408115510 482318330 530550163 816231020 964636660 1061100326 2122200652 2652750815 5305501630 10611003260