[go: up one dir, main page]

Search a number
-
+
10968704 = 27671279
BaseRepresentation
bin101001110101…
…111010000000
3202122021020022
4221311322000
510301444304
61031033012
7162142505
oct51657200
922567208
1010968704
116211a4a
12380b768
132370776
1416574ac
15e69ebe
hexa75e80

10968704 has 32 divisors (see below), whose sum is σ = 22195200. Its totient is φ = 5398272.

The previous prime is 10968691. The next prime is 10968707. The reversal of 10968704 is 40786901.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10968707) 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 3 ways as a sum of consecutive naturals, for example, 7937 + ... + 9215.

It is an arithmetic number, because the mean of its divisors is an integer number (693600).

Almost surely, 210968704 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 10968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11097600).

10968704 is an abundant number, since it is smaller than the sum of its proper divisors (11226496).

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

10968704 is an equidigital number, since it uses as much as digits as its factorization.

10968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 10968704 is about 3311.9033802332. The cubic root of 10968704 is about 222.1868945322.

The spelling of 10968704 in words is "ten million, nine hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 1279 2144 2558 4288 5116 8576 10232 20464 40928 81856 85693 163712 171386 342772 685544 1371088 2742176 5484352 10968704