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9993305 = 5735827
BaseRepresentation
bin100110000111…
…110001011001
3200210201020102
4212013301121
510024241210
6554105145
7150641000
oct46076131
920721212
109993305
115706133
12341b1b5
1320bb7ca
141481c37
15d25ea5
hex987c59

9993305 has 16 divisors (see below), whose sum is σ = 13987200. Its totient is φ = 6851376.

The previous prime is 9993289. The next prime is 9993317. The reversal of 9993305 is 5033999.

9993305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9993305 - 24 = 9993289 is a prime.

It is a super-2 number, since 2×99933052 = 199732289646050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199 + ... + 4628.

It is an arithmetic number, because the mean of its divisors is an integer number (874200).

Almost surely, 29993305 is an apocalyptic number.

It is an amenable number.

9993305 is a deficient number, since it is larger than the sum of its proper divisors (3993895).

9993305 is an equidigital number, since it uses as much as digits as its factorization.

9993305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5853 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 32805, while the sum is 38.

The square root of 9993305 is about 3161.2189104837. The cubic root of 9993305 is about 215.3953784686.

The spelling of 9993305 in words is "nine million, nine hundred ninety-three thousand, three hundred five".

Divisors: 1 5 7 35 49 245 343 1715 5827 29135 40789 203945 285523 1427615 1998661 9993305