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268973983 = 17234391567
BaseRepresentation
bin10000000010000…
…011011110011111
3200202010021221101
4100002003132133
51022324131413
642405013531
76444145465
oct2002033637
9622107841
10268973983
11128913153
12760b42a7
1343956b05
1427a18835
1518930edd
hex1008379f

268973983 has 16 divisors (see below), whose sum is σ = 298045440. Its totient is φ = 241439616.

The previous prime is 268973977. The next prime is 268974001. The reversal of 268973983 is 389379862.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 268973983 - 213 = 268965791 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268973923) 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 15 ways as a sum of consecutive naturals, for example, 170866 + ... + 172432.

It is an arithmetic number, because the mean of its divisors is an integer number (18627840).

Almost surely, 2268973983 is an apocalyptic number.

268973983 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

268973983 is a deficient number, since it is larger than the sum of its proper divisors (29071457).

268973983 is a wasteful number, since it uses less digits than its factorization.

268973983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046.

The product of its digits is 3919104, while the sum is 55.

The square root of 268973983 is about 16400.4263054349. The cubic root of 268973983 is about 645.5106690319.

The spelling of 268973983 in words is "two hundred sixty-eight million, nine hundred seventy-three thousand, nine hundred eighty-three".

Divisors: 1 17 23 391 439 1567 7463 10097 26639 36041 171649 612697 687913 11694521 15821999 268973983