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10663641 = 321769697
BaseRepresentation
bin101000101011…
…011011011001
3202001202202200
4220223123121
510212214031
61020320413
7156432222
oct50533331
922052680
1010663641
11602382a
1236a3109
132294961
1415b8249
15e098e6
hexa2b6d9

10663641 has 12 divisors (see below), whose sum is σ = 16309332. Its totient is φ = 6690816.

The previous prime is 10663603. The next prime is 10663643. The reversal of 10663641 is 14636601.

10663641 is a `hidden beast` number, since 10 + 6 + 6 + 3 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10017225 + 646416 = 3165^2 + 804^2 .

It is not a de Polignac number, because 10663641 - 26 = 10663577 is a prime.

It is a super-2 number, since 2×106636412 = 227426478753762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10663643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34696 + ... + 35001.

It is an arithmetic number, because the mean of its divisors is an integer number (1359111).

Almost surely, 210663641 is an apocalyptic number.

It is an amenable number.

10663641 is a deficient number, since it is larger than the sum of its proper divisors (5645691).

10663641 is a wasteful number, since it uses less digits than its factorization.

10663641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69720 (or 69717 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10663641 is about 3265.5230821417. The cubic root of 10663641 is about 220.1076676847.

The spelling of 10663641 in words is "ten million, six hundred sixty-three thousand, six hundred forty-one".

Divisors: 1 3 9 17 51 153 69697 209091 627273 1184849 3554547 10663641