Search a number
-
+
10875942 = 23272111959
BaseRepresentation
bin101001011111…
…010000100110
3202110112222200
4221133100212
510241012232
61025035330
7161305200
oct51372046
922415880
1010875942
116159290
123785b46
13233a48c
141631770
15e4c77c
hexa5f426

10875942 has 144 divisors (see below), whose sum is σ = 32011200. Its totient is φ = 2630880.

The previous prime is 10875929. The next prime is 10875959. The reversal of 10875942 is 24957801.

10875942 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×108759422 = 236572228774728, which contains 22 as substring.

10875942 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 10875897 and 10875906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184309 + ... + 184367.

It is an arithmetic number, because the mean of its divisors is an integer number (222300).

Almost surely, 210875942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10875942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005600).

10875942 is an abundant number, since it is smaller than the sum of its proper divisors (21135258).

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

10875942 is a wasteful number, since it uses less digits than its factorization.

10875942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10875942 is about 3297.8693121469. The cubic root of 10875942 is about 221.5587779067.

It can be divided in two parts, 108759 and 42, that added together give a palindrome (108801).

The spelling of 10875942 in words is "ten million, eight hundred seventy-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 49 57 59 63 66 77 98 99 114 118 126 133 147 154 171 177 198 209 231 266 294 342 354 399 413 418 441 462 531 539 627 649 693 798 826 882 931 1062 1078 1121 1197 1239 1254 1298 1386 1463 1617 1862 1881 1947 2242 2394 2478 2793 2891 2926 3234 3363 3717 3762 3894 4389 4543 4851 5586 5782 5841 6726 7434 7847 8379 8673 8778 9086 9702 10089 10241 11682 12331 13167 13629 15694 16758 17346 20178 20482 23541 24662 26019 26334 27258 30723 31801 36993 40887 47082 52038 54929 61446 63602 70623 73986 81774 86317 92169 95403 109858 110979 141246 164787 172634 184338 190806 221958 258951 286209 329574 494361 517902 572418 604219 776853 988722 1208438 1553706 1812657 3625314 5437971 10875942