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10216296 = 2332473019
BaseRepresentation
bin100110111110…
…001101101000
3201020001010100
4212332031220
510103410141
61002545400
7152560056
oct46761550
921201110
1010216296
115848722
123508260
13216915c
1414dd1d6
15d6c0b6
hex9be368

10216296 has 48 divisors (see below), whose sum is σ = 28267200. Its totient is φ = 3331872.

The previous prime is 10216291. The next prime is 10216309. The reversal of 10216296 is 69261201.

10216296 is a `hidden beast` number, since 10 + 21 + 629 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (10216291) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1875 + ... + 4893.

It is an arithmetic number, because the mean of its divisors is an integer number (588900).

Almost surely, 210216296 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 10216296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14133600).

10216296 is an abundant number, since it is smaller than the sum of its proper divisors (18050904).

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

10216296 is a wasteful number, since it uses less digits than its factorization.

10216296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10216296 is about 3196.2941041150. The cubic root of 10216296 is about 216.9857211328.

Adding to 10216296 its reverse (69261201), we get a palindrome (79477497).

The spelling of 10216296 in words is "ten million, two hundred sixteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3019 3384 6038 9057 12076 18114 24152 27171 36228 54342 72456 108684 141893 217368 283786 425679 567572 851358 1135144 1277037 1702716 2554074 3405432 5108148 10216296