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10083504 = 243832531
BaseRepresentation
bin100110011101…
…110010110000
3200222021222010
4212131302300
510040133004
61000042520
7151464654
oct46356260
920867863
1010083504
115767982
123463440
132120892
1414a6a64
15d42a89
hex99dcb0

10083504 has 40 divisors (see below), whose sum is σ = 26373312. Its totient is φ = 3319360.

The previous prime is 10083497. The next prime is 10083511. The reversal of 10083504 is 40538001.

10083504 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10083497) and next prime (10083511).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2719 + ... + 5249.

Almost surely, 210083504 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 10083504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186656).

10083504 is an abundant number, since it is smaller than the sum of its proper divisors (16289808).

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

10083504 is a wasteful number, since it uses less digits than its factorization.

10083504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10083504 is about 3175.4533534599. The cubic root of 10083504 is about 216.0414872299.

The spelling of 10083504 in words is "ten million, eighty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 2531 3984 5062 7593 10124 15186 20248 30372 40496 60744 121488 210073 420146 630219 840292 1260438 1680584 2520876 3361168 5041752 10083504