Search a number
-
+
10511028 = 223211219127
BaseRepresentation
bin101000000110…
…001010110100
3201210000102100
4220012022310
510142323103
61013142100
7155225253
oct50061264
921700370
1010511028
115a2a100
12362a930
132240358
14157879a
15dc95a3
hexa062b4

10511028 has 108 divisors (see below), whose sum is σ = 30983680. Its totient is φ = 2993760.

The previous prime is 10510999. The next prime is 10511063. The reversal of 10511028 is 82011501.

It is a super-2 number, since 2×105110282 = 220963419233568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10511028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82701 + ... + 82827.

Almost surely, 210511028 is an apocalyptic number.

10511028 is a gapful number since it is divisible by the number (18) 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 10511028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491840).

10511028 is an abundant number, since it is smaller than the sum of its proper divisors (20472652).

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

10511028 is a wasteful number, since it uses less digits than its factorization.

10511028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10511028 is about 3242.0715599752. The cubic root of 10511028 is about 219.0525926107.

Adding to 10511028 its reverse (82011501), we get a palindrome (92522529).

The spelling of 10511028 in words is "ten million, five hundred eleven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 121 127 132 171 198 209 228 242 254 342 363 381 396 418 484 508 627 684 726 762 836 1089 1143 1254 1397 1452 1524 1881 2178 2286 2299 2413 2508 2794 3762 4191 4356 4572 4598 4826 5588 6897 7239 7524 8382 9196 9652 12573 13794 14478 15367 16764 20691 21717 25146 26543 27588 28956 30734 41382 43434 46101 50292 53086 61468 79629 82764 86868 92202 106172 138303 159258 184404 238887 276606 291973 318516 477774 553212 583946 875919 955548 1167892 1751838 2627757 3503676 5255514 10511028