Search a number
-
+
10188828 = 2234134159
BaseRepresentation
bin100110110111…
…100000011100
3201011122110000
4212313200130
510102020303
61002214300
7152414016
oct46674034
921148400
1010188828
11582a021
1234b4390
1321597c0
1414d31b6
15d63da3
hex9b781c

10188828 has 120 divisors (see below), whose sum is σ = 29882160. Its totient is φ = 3006720.

The previous prime is 10188821. The next prime is 10188833. The reversal of 10188828 is 82888101.

It is a happy number.

10188828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10188792 and 10188801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10188821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172663 + ... + 172721.

It is an arithmetic number, because the mean of its divisors is an integer number (249018).

Almost surely, 210188828 is an apocalyptic number.

10188828 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 10188828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941080).

10188828 is an abundant number, since it is smaller than the sum of its proper divisors (19693332).

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

10188828 is a wasteful number, since it uses less digits than its factorization.

10188828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 10188828 is about 3191.9943608973. The cubic root of 10188828 is about 216.7910806822.

Adding to 10188828 its sum of digits (36), we get a square (10188864 = 31922).

The spelling of 10188828 in words is "ten million, one hundred eighty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 59 78 81 82 108 117 118 123 156 162 164 177 234 236 246 324 351 354 369 468 492 531 533 702 708 738 767 1053 1062 1066 1107 1404 1476 1534 1593 1599 2106 2124 2132 2214 2301 2419 3068 3186 3198 3321 4212 4428 4602 4779 4797 4838 6372 6396 6642 6903 7257 9204 9558 9594 9676 13284 13806 14391 14514 19116 19188 20709 21771 27612 28782 29028 31447 41418 43173 43542 57564 62127 62894 65313 82836 86346 87084 94341 124254 125788 130626 172692 188682 195939 248508 261252 283023 377364 391878 566046 783756 849069 1132092 1698138 2547207 3396276 5094414 10188828