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9993390 = 2351122753
BaseRepresentation
bin100110000111…
…110010101110
3200210201100120
4212013302232
510024242030
6554105410
7150641151
oct46076256
920721316
109993390
115706200
12341b266
1320bb864
141481c98
15d26010
hex987cae

9993390 has 48 divisors (see below), whose sum is σ = 26372304. Its totient is φ = 2421760.

The previous prime is 9993383. The next prime is 9993397. The reversal of 9993390 is 933999.

It is an interprime number because it is at equal distance from previous prime (9993383) and next prime (9993397).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993397) 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 23 ways as a sum of consecutive naturals, for example, 2254 + ... + 5006.

It is an arithmetic number, because the mean of its divisors is an integer number (549423).

Almost surely, 29993390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9993390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186152).

9993390 is an abundant number, since it is smaller than the sum of its proper divisors (16378914).

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

9993390 is a wasteful number, since it uses less digits than its factorization.

9993390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 42.

The square root of 9993390 is about 3161.2323546364. The cubic root of 9993390 is about 215.3959891626.

It can be divided in two parts, 9 and 993390, that added together give a palindrome (993399).

The spelling of 9993390 in words is "nine million, nine hundred ninety-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 2753 3630 5506 8259 13765 16518 27530 30283 41295 60566 82590 90849 151415 181698 302830 333113 454245 666226 908490 999339 1665565 1998678 3331130 4996695 9993390