Search a number
-
+
10319364 = 223211223103
BaseRepresentation
bin100111010111…
…011000000100
3201102021111200
4213113120010
510120204424
61005102500
7153466416
oct47273004
921367450
1010319364
115909100
123557a30
1321a4043
1415289b6
15d8c8c9
hex9d7604

10319364 has 108 divisors (see below), whose sum is σ = 30209088. Its totient is φ = 2962080.

The previous prime is 10319339. The next prime is 10319369. The reversal of 10319364 is 46391301.

It is not an unprimeable number, because it can be changed into a prime (10319369) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 100137 + ... + 100239.

Almost surely, 210319364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10319364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104544).

10319364 is an abundant number, since it is smaller than the sum of its proper divisors (19889724).

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

10319364 is a wasteful number, since it uses less digits than its factorization.

10319364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10319364 is about 3212.3766902404. The cubic root of 10319364 is about 217.7129741085.

The spelling of 10319364 in words is "ten million, three hundred nineteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 103 121 132 138 198 206 207 242 253 276 309 363 396 412 414 484 506 618 726 759 828 927 1012 1089 1133 1236 1452 1518 1854 2178 2266 2277 2369 2783 3036 3399 3708 4356 4532 4554 4738 5566 6798 7107 8349 9108 9476 10197 11132 12463 13596 14214 16698 20394 21321 24926 25047 26059 28428 33396 37389 40788 42642 49852 50094 52118 74778 78177 85284 100188 104236 112167 149556 156354 224334 234531 286649 312708 448668 469062 573298 859947 938124 1146596 1719894 2579841 3439788 5159682 10319364