Search a number
-
+
10134828 = 22331119449
BaseRepresentation
bin100110101010…
…010100101100
3201001220101000
4212222110230
510043303303
61001120300
7152100414
oct46522454
921056330
1010134828
1157a24a0
123489090
13213b052
1414bb644
15d52da3
hex9aa52c

10134828 has 96 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 2903040.

The previous prime is 10134811. The next prime is 10134863. The reversal of 10134828 is 82843101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22348 + ... + 22796.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 210134828 is an apocalyptic number.

10134828 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 10134828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

10134828 is an abundant number, since it is smaller than the sum of its proper divisors (20105172).

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

10134828 is a wasteful number, since it uses less digits than its factorization.

10134828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10134828 is about 3183.5244619761. The cubic root of 10134828 is about 216.4074100895.

Adding to 10134828 its reverse (82843101), we get a palindrome (92977929).

The spelling of 10134828 in words is "ten million, one hundred thirty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 449 513 594 627 684 836 898 1026 1188 1254 1347 1796 1881 2052 2508 2694 3762 4041 4939 5388 5643 7524 8082 8531 9878 11286 12123 14817 16164 17062 19756 22572 24246 25593 29634 34124 44451 48492 51186 59268 76779 88902 93841 102372 133353 153558 177804 187682 230337 266706 281523 307116 375364 460674 533412 563046 844569 921348 1126092 1689138 2533707 3378276 5067414 10134828