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10066837 = 112271307
BaseRepresentation
bin100110011001…
…101110010101
3200221110002211
4212121232111
510034114322
6555433421
7151365244
oct46315625
920843084
1010066837
115756400
123455871
132116111
1414a095b
15d3cb77
hex999b95

10066837 has 12 divisors (see below), whose sum is σ = 11142208. Its totient is φ = 9088200.

The previous prime is 10066829. The next prime is 10066841. The reversal of 10066837 is 73866001.

10066837 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10066837 - 23 = 10066829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10066799 and 10066808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066807) 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, 32638 + ... + 32944.

Almost surely, 210066837 is an apocalyptic number.

It is an amenable number.

10066837 is a deficient number, since it is larger than the sum of its proper divisors (1075371).

10066837 is a wasteful number, since it uses less digits than its factorization.

10066837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 10066837 is about 3172.8279184349. The cubic root of 10066837 is about 215.9223900990.

The spelling of 10066837 in words is "ten million, sixty-six thousand, eight hundred thirty-seven".

Divisors: 1 11 121 271 307 2981 3377 32791 37147 83197 915167 10066837