Search a number
-
+
10360116 = 22331347157
BaseRepresentation
bin100111100001…
…010100110100
3201111100102000
4213201110310
510123010431
61010015300
7154026264
oct47412464
921440360
1010360116
115936788
123577530
1321b9760
1415397a4
15d999e6
hex9e1534

10360116 has 96 divisors (see below), whose sum is σ = 29729280. Its totient is φ = 3100032.

The previous prime is 10360093. The next prime is 10360121. The reversal of 10360116 is 61106301.

It is a super-3 number, since 3×103601163 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65910 + ... + 66066.

It is an arithmetic number, because the mean of its divisors is an integer number (309680).

Almost surely, 210360116 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 10360116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864640).

10360116 is an abundant number, since it is smaller than the sum of its proper divisors (19369164).

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

10360116 is a wasteful number, since it uses less digits than its factorization.

10360116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10360116 is about 3218.7134075590. The cubic root of 10360116 is about 217.9991863730. Note that the first 3 decimals are identical.

Adding to 10360116 its reverse (61106301), we get a palindrome (71466417).

The spelling of 10360116 in words is "ten million, three hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 94 108 117 141 156 157 188 234 282 314 351 423 468 471 564 611 628 702 846 942 1222 1269 1404 1413 1692 1833 1884 2041 2444 2538 2826 3666 4082 4239 5076 5499 5652 6123 7332 7379 8164 8478 10998 12246 14758 16497 16956 18369 21996 22137 24492 29516 32994 36738 44274 55107 65988 66411 73476 88548 95927 110214 132822 191854 199233 220428 265644 287781 383708 398466 575562 796932 863343 1151124 1726686 2590029 3453372 5180058 10360116