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293120993 = 112337173181
BaseRepresentation
bin10001011110001…
…010101111100001
3202102120002102002
4101132022233201
51100014332433
645030333345
710156326104
oct2136125741
9672502362
10293120993
11140506160
12821ba255
134895c999
142ad0273b
151ab009e8
hex1178abe1

293120993 has 32 divisors (see below), whose sum is σ = 346574592. Its totient is φ = 245203200.

The previous prime is 293120977. The next prime is 293121011. The reversal of 293120993 is 399021392.

It is not a de Polignac number, because 293120993 - 24 = 293120977 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (293126993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1619363 + ... + 1619543.

It is an arithmetic number, because the mean of its divisors is an integer number (10830456).

Almost surely, 2293120993 is an apocalyptic number.

293120993 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

293120993 is a deficient number, since it is larger than the sum of its proper divisors (53453599).

293120993 is a wasteful number, since it uses less digits than its factorization.

293120993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425.

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 293120993 is about 17120.7766471034. The cubic root of 293120993 is about 664.2766310283.

The spelling of 293120993 in words is "two hundred ninety-three million, one hundred twenty thousand, nine hundred ninety-three".

Divisors: 1 11 23 37 173 181 253 407 851 1903 1991 3979 4163 6401 6697 9361 31313 43769 45793 70411 73667 147223 154031 344443 720199 1158581 1619453 1694341 7922189 12744391 26647363 293120993