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10066824 = 2332236079
BaseRepresentation
bin100110011001…
…101110001000
3200221110002100
4212121232020
510034114244
6555433400
7151365225
oct46315610
920843070
1010066824
115756399
123455860
132116101
1414a094c
15d3cb69
hex999b88

10066824 has 48 divisors (see below), whose sum is σ = 28454400. Its totient is φ = 3209184.

The previous prime is 10066807. The next prime is 10066829. The reversal of 10066824 is 42866001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066829) 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 11 ways as a sum of consecutive naturals, for example, 1384 + ... + 4695.

It is an arithmetic number, because the mean of its divisors is an integer number (592800).

Almost surely, 210066824 is an apocalyptic number.

It is an amenable number.

10066824 is an abundant number, since it is smaller than the sum of its proper divisors (18387576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10066824 is a wasteful number, since it uses less digits than its factorization.

10066824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10066824 is about 3172.8258697886. The cubic root of 10066824 is about 215.9222971538.

The spelling of 10066824 in words is "ten million, sixty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 6079 12158 18237 24316 36474 48632 54711 72948 109422 139817 145896 218844 279634 419451 437688 559268 838902 1118536 1258353 1677804 2516706 3355608 5033412 10066824