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10083832 = 23111937163
BaseRepresentation
bin100110011101…
…110111111000
3200222022102021
4212131313320
510040140312
61000044224
7151465633
oct46356770
920868367
1010083832
115768150
123463674
132120a85
1414a6c1a
15d42c07
hex99ddf8

10083832 has 64 divisors (see below), whose sum is σ = 22435200. Its totient is φ = 4199040.

The previous prime is 10083823. The next prime is 10083841. The reversal of 10083832 is 23838001.

It is an interprime number because it is at equal distance from previous prime (10083823) and next prime (10083841).

It is a junction number, because it is equal to n+sod(n) for n = 10083797 and 10083806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61783 + ... + 61945.

It is an arithmetic number, because the mean of its divisors is an integer number (350550).

Almost surely, 210083832 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 10083832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217600).

10083832 is an abundant number, since it is smaller than the sum of its proper divisors (12351368).

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

10083832 is a wasteful number, since it uses less digits than its factorization.

10083832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 10083832 is about 3175.5049992088. The cubic root of 10083832 is about 216.0438296974.

The spelling of 10083832 in words is "ten million, eighty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 37 38 44 74 76 88 148 152 163 209 296 326 407 418 652 703 814 836 1304 1406 1628 1672 1793 2812 3097 3256 3586 5624 6031 6194 7172 7733 12062 12388 14344 15466 24124 24776 30932 34067 48248 61864 66341 68134 114589 132682 136268 229178 265364 272536 458356 530728 916712 1260479 2520958 5041916 10083832