Search a number
-
+
10518804 = 22323753149
BaseRepresentation
bin101000001000…
…000100010100
3201210102002100
4220020010110
510143100204
61013242100
7155260032
oct50100424
921712070
1010518804
115a34a2a
123633330
132243a5a
14157b552
15dcba39
hexa08114

10518804 has 72 divisors (see below), whose sum is σ = 28009800. Its totient is φ = 3324672.

The previous prime is 10518803. The next prime is 10518817. The reversal of 10518804 is 40881501.

It can be written as a sum of positive squares in 4 ways, for example, as 2566404 + 7952400 = 1602^2 + 2820^2 .

It is a super-2 number, since 2×105188042 = 221290475180832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10518803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70522 + ... + 70670.

It is an arithmetic number, because the mean of its divisors is an integer number (389025).

Almost surely, 210518804 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 10518804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004900).

10518804 is an abundant number, since it is smaller than the sum of its proper divisors (17490996).

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

10518804 is a wasteful number, since it uses less digits than its factorization.

10518804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10518804 is about 3243.2705715065. The cubic root of 10518804 is about 219.1065972583.

The spelling of 10518804 in words is "ten million, five hundred eighteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 53 74 106 111 148 149 159 212 222 298 318 333 444 447 477 596 636 666 894 954 1332 1341 1788 1908 1961 2682 3922 5364 5513 5883 7844 7897 11026 11766 15794 16539 17649 22052 23532 23691 31588 33078 35298 47382 49617 66156 70596 71073 94764 99234 142146 198468 284292 292189 584378 876567 1168756 1753134 2629701 3506268 5259402 10518804