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10664541 = 3614629
BaseRepresentation
bin101000101011…
…101001011101
3202001211000000
4220223221131
510212231131
61020324513
7156434646
oct50535135
922054000
1010664541
116024478
1236a3739
1322951a4
1415b86cd
15e09ce6
hexa2ba5d

10664541 has 14 divisors (see below), whose sum is σ = 15990590. Its totient is φ = 7109208.

The previous prime is 10664519. The next prime is 10664561. The reversal of 10664541 is 14546601.

10664541 is a `hidden beast` number, since 10 + 6 + 645 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7584516 + 3080025 = 2754^2 + 1755^2 .

It is not a de Polignac number, because 10664541 - 26 = 10664477 is a prime.

It is a super-2 number, since 2×106645412 = 227464869481362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664561) 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 13 ways as a sum of consecutive naturals, for example, 6586 + ... + 8043.

It is an arithmetic number, because the mean of its divisors is an integer number (1142185).

Almost surely, 210664541 is an apocalyptic number.

It is an amenable number.

10664541 is a deficient number, since it is larger than the sum of its proper divisors (5326049).

10664541 is an frugal number, since it uses more digits than its factorization.

10664541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14647 (or 14632 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10664541 is about 3265.6608825780. The cubic root of 10664541 is about 220.1138597951.

The spelling of 10664541 in words is "ten million, six hundred sixty-four thousand, five hundred forty-one".

Divisors: 1 3 9 27 81 243 729 14629 43887 131661 394983 1184949 3554847 10664541