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10083660 = 2235237307
BaseRepresentation
bin100110011101…
…110101001100
3200222022011220
4212131311030
510040134120
61000043340
7151465266
oct46356514
920868156
1010083660
115768004
123463550
132120982
1414a6b36
15d42b40
hex99dd4c

10083660 has 48 divisors (see below), whose sum is σ = 29465856. Its totient is φ = 2571712.

The previous prime is 10083659. The next prime is 10083679. The reversal of 10083660 is 6638001.

It is a self number, because there is not a number n which added to its sum of digits gives 10083660.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2274 + ... + 5033.

It is an arithmetic number, because the mean of its divisors is an integer number (613872).

Almost surely, 210083660 is an apocalyptic number.

10083660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10083660 is an abundant number, since it is smaller than the sum of its proper divisors (19382196).

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

10083660 is a wasteful number, since it uses less digits than its factorization.

10083660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10083660 is about 3175.4779167867. The cubic root of 10083660 is about 216.0426013366.

The spelling of 10083660 in words is "ten million, eighty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 7307 14614 21921 29228 36535 43842 73070 87684 109605 146140 168061 219210 336122 438420 504183 672244 840305 1008366 1680610 2016732 2520915 3361220 5041830 10083660