Search a number
-
+
10117344 = 253105389
BaseRepresentation
bin100110100110…
…000011100000
3201001000101110
4212212003200
510042223334
61000503320
7151665426
oct46460340
921030343
1010117344
115790346
12347ab40
1321330c3
1414b5116
15d4cae9
hex9a60e0

10117344 has 24 divisors (see below), whose sum is σ = 26558280. Its totient is φ = 3372416.

The previous prime is 10117343. The next prime is 10117351. The reversal of 10117344 is 44371101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×101173442 = 204721299228672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10117344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52599 + ... + 52790.

It is an arithmetic number, because the mean of its divisors is an integer number (1106595).

Almost surely, 210117344 is an apocalyptic number.

It is an amenable number.

10117344 is an abundant number, since it is smaller than the sum of its proper divisors (16440936).

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

10117344 is a wasteful number, since it uses less digits than its factorization.

10117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105402 (or 105394 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10117344 is about 3180.7772635002. Note that the first 3 decimals coincide. The cubic root of 10117344 is about 216.2828940796.

Adding to 10117344 its reverse (44371101), we get a palindrome (54488445).

The spelling of 10117344 in words is "ten million, one hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 105389 210778 316167 421556 632334 843112 1264668 1686224 2529336 3372448 5058672 10117344