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10083636 = 2233731279
BaseRepresentation
bin100110011101…
…110100110100
3200222022011000
4212131310310
510040134021
61000043300
7151465233
oct46356464
920868130
1010083636
115767a92
123463530
132120964
1414a6b1a
15d42b26
hex99dd34

10083636 has 48 divisors (see below), whose sum is σ = 26521600. Its totient is φ = 3312576.

The previous prime is 10083613. The next prime is 10083643. The reversal of 10083636 is 63638001.

It is a Harshad number since it is a multiple of its sum of digits (27).

10083636 is a modest number, since divided by 3636 gives 1008 as remainder.

It is a congruent 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, 7245 + ... + 8523.

Almost surely, 210083636 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 10083636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260800).

10083636 is an abundant number, since it is smaller than the sum of its proper divisors (16437964).

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

10083636 is a wasteful number, since it uses less digits than its factorization.

10083636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10083636 is about 3175.4741378257. The cubic root of 10083636 is about 216.0424299363.

The spelling of 10083636 in words is "ten million, eighty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1279 1314 1971 2558 2628 3837 3942 5116 7674 7884 11511 15348 23022 34533 46044 69066 93367 138132 186734 280101 373468 560202 840303 1120404 1680606 2520909 3361212 5041818 10083636