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10083684 = 22313371747
BaseRepresentation
bin100110011101…
…110101100100
3200222022012210
4212131311210
510040134214
61000043420
7151465332
oct46356544
920868183
1010083684
115768026
123463570
1321209a0
1414a6b52
15d42b59
hex99dd64

10083684 has 48 divisors (see below), whose sum is σ = 26038208. Its totient is φ = 3017088.

The previous prime is 10083679. The next prime is 10083707. The reversal of 10083684 is 48638001.

It is a happy number.

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, 4899 + ... + 6645.

Almost surely, 210083684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10083684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13019104).

10083684 is an abundant number, since it is smaller than the sum of its proper divisors (15954524).

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

10083684 is a wasteful number, since it uses less digits than its factorization.

10083684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10083684 is about 3175.4816957432. The cubic root of 10083684 is about 216.0427727366.

The spelling of 10083684 in words is "ten million, eighty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1747 1924 2886 3494 5241 5772 6988 10482 20964 22711 45422 64639 68133 90844 129278 136266 193917 258556 272532 387834 775668 840307 1680614 2520921 3361228 5041842 10083684