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10069641 = 322941941
BaseRepresentation
bin100110011010…
…011010001001
3200221120221200
4212122122021
510034212031
6555454413
7151406361
oct46323211
920846850
1010069641
11575851a
123457409
13211748a
1414a19a1
15d3d8e6
hex99a689

10069641 has 24 divisors (see below), whose sum is σ = 15429960. Its totient is φ = 6316800.

The previous prime is 10069621. The next prime is 10069649. The reversal of 10069641 is 14696001.

10069641 is a `hidden beast` number, since 10 + 0 + 6 + 9 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 335241 + 9734400 = 579^2 + 3120^2 .

It is not a de Polignac number, because 10069641 - 211 = 10067593 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10069649) 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 23 ways as a sum of consecutive naturals, for example, 10231 + ... + 11171.

It is an arithmetic number, because the mean of its divisors is an integer number (642915).

Almost surely, 210069641 is an apocalyptic number.

It is an amenable number.

10069641 is a deficient number, since it is larger than the sum of its proper divisors (5360319).

10069641 is a wasteful number, since it uses less digits than its factorization.

10069641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10069641 is about 3173.2697647695. The cubic root of 10069641 is about 215.9424357921.

The spelling of 10069641 in words is "ten million, sixty-nine thousand, six hundred forty-one".

Divisors: 1 3 9 29 41 87 123 261 369 941 1189 2823 3567 8469 10701 27289 38581 81867 115743 245601 347229 1118849 3356547 10069641