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10083744 = 2533111061
BaseRepresentation
bin100110011101…
…110110100000
3200222022022000
4212131312200
510040134434
61000044000
7151465446
oct46356640
920868260
1010083744
115768080
123463600
132120a18
1414a6b96
15d42b99
hex99dda0

10083744 has 96 divisors (see below), whose sum is σ = 32114880. Its totient is φ = 3052800.

The previous prime is 10083743. The next prime is 10083751. The reversal of 10083744 is 44738001.

10083744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (10083743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8974 + ... + 10034.

It is an arithmetic number, because the mean of its divisors is an integer number (334530).

Almost surely, 210083744 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 10083744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057440).

10083744 is an abundant number, since it is smaller than the sum of its proper divisors (22031136).

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

10083744 is a wasteful number, since it uses less digits than its factorization.

10083744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10083744 is about 3175.4911431147. The cubic root of 10083744 is about 216.0432012355.

The spelling of 10083744 in words is "ten million, eighty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1061 1188 1584 2122 2376 3168 3183 4244 4752 6366 8488 9504 9549 11671 12732 16976 19098 23342 25464 28647 33952 35013 38196 46684 50928 57294 70026 76392 93368 101856 105039 114588 140052 152784 186736 210078 229176 280104 305568 315117 373472 420156 458352 560208 630234 840312 916704 1120416 1260468 1680624 2520936 3361248 5041872 10083744