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10768941 = 329371277
BaseRepresentation
bin101001000101…
…001000101101
3202021010012200
4221011020231
510224101231
61022452113
7160351221
oct51051055
922233180
1010768941
116095957
123734039
132300871
141604781
15e2abe6
hexa4522d

10768941 has 12 divisors (see below), whose sum is σ = 15583932. Its totient is φ = 7166016.

The previous prime is 10768907. The next prime is 10768943. The reversal of 10768941 is 14986701.

It can be written as a sum of positive squares in 2 ways, for example, as 3316041 + 7452900 = 1821^2 + 2730^2 .

It is not a de Polignac number, because 10768941 - 214 = 10752557 is a prime.

It is a super-2 number, since 2×107689412 = 231940180522962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10768896 and 10768905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10768943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7795 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (1298661).

Almost surely, 210768941 is an apocalyptic number.

It is an amenable number.

10768941 is a deficient number, since it is larger than the sum of its proper divisors (4814991).

10768941 is a wasteful number, since it uses less digits than its factorization.

10768941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10768941 is about 3281.6064663515. The cubic root of 10768941 is about 220.8297932584.

The spelling of 10768941 in words is "ten million, seven hundred sixty-eight thousand, nine hundred forty-one".

Divisors: 1 3 9 937 1277 2811 3831 8433 11493 1196549 3589647 10768941