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10063328 = 2511223113
BaseRepresentation
bin100110011000…
…110111100000
3200221021021212
4212120313200
510034011303
6555405252
7151352102
oct46306740
920837255
1010063328
115753800
123453828
132114642
14149d572
15d3bad8
hex998de0

10063328 has 72 divisors (see below), whose sum is σ = 22924944. Its totient is φ = 4336640.

The previous prime is 10063309. The next prime is 10063363. The reversal of 10063328 is 82336001.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89000 + ... + 89112.

It is an arithmetic number, because the mean of its divisors is an integer number (318402).

Almost surely, 210063328 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 10063328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11462472).

10063328 is an abundant number, since it is smaller than the sum of its proper divisors (12861616).

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

10063328 is a wasteful number, since it uses less digits than its factorization.

10063328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10063328 is about 3172.2748935110. The cubic root of 10063328 is about 215.8972991421.

Adding to 10063328 its reverse (82336001), we get a palindrome (92399329).

It can be divided in two parts, 1006 and 3328, that added together give a palindrome (4334).

The spelling of 10063328 in words is "ten million, sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 113 121 176 184 226 242 253 352 368 452 484 506 736 904 968 1012 1243 1808 1936 2024 2486 2599 2783 3616 3872 4048 4972 5198 5566 8096 9944 10396 11132 13673 19888 20792 22264 27346 28589 39776 41584 44528 54692 57178 83168 89056 109384 114356 218768 228712 314479 437536 457424 628958 914848 1257916 2515832 5031664 10063328