Search a number
-
+
10731084 = 22371331317
BaseRepresentation
bin101000111011…
…111001001100
3202012012021120
4220323321030
510221343314
61022000540
7160132650
oct50737114
922165246
1010731084
11606a471
123716150
1322b9570
1415d4a60
15e1e8a9
hexa3be4c

10731084 has 96 divisors (see below), whose sum is σ = 31911936. Its totient is φ = 2730240.

The previous prime is 10731079. The next prime is 10731101. The reversal of 10731084 is 48013701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33694 + ... + 34010.

It is an arithmetic number, because the mean of its divisors is an integer number (332416).

Almost surely, 210731084 is an apocalyptic number.

10731084 is a gapful number since it is divisible by the number (14) 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 10731084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15955968).

10731084 is an abundant number, since it is smaller than the sum of its proper divisors (21180852).

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

10731084 is a wasteful number, since it uses less digits than its factorization.

10731084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10731084 is about 3275.8333290935. The cubic root of 10731084 is about 220.5707220146.

Adding to 10731084 its reverse (48013701), we get a palindrome (58744785).

The spelling of 10731084 in words is "ten million, seven hundred thirty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 317 364 372 403 434 546 634 651 806 868 951 1092 1209 1268 1302 1612 1902 2219 2418 2604 2821 3804 4121 4438 4836 5642 6657 8242 8463 8876 9827 11284 12363 13314 16484 16926 19654 24726 26628 28847 29481 33852 39308 49452 57694 58962 68789 86541 115388 117924 127751 137578 173082 206367 255502 275156 346164 383253 412734 511004 766506 825468 894257 1533012 1788514 2682771 3577028 5365542 10731084