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168820337 = 7218011913
BaseRepresentation
bin10100000111111…
…11111001110001
3102202122221222002
422003333321301
5321204222322
624430223345
74116643400
oct1203777161
9382587862
10168820337
1187327244
1248654b55
1328c8b3ba
14185c7637
15ec4ac92
hexa0ffe71

168820337 has 12 divisors (see below), whose sum is σ = 196594596. Its totient is φ = 144547200.

The previous prime is 168820313. The next prime is 168820343. The reversal of 168820337 is 733028861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84474481 + 84345856 = 9191^2 + 9184^2 .

It is not a de Polignac number, because 168820337 - 220 = 167771761 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.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 168820337.

It is not an unprimeable number, because it can be changed into a prime (168820357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87293 + ... + 89205.

It is an arithmetic number, because the mean of its divisors is an integer number (16382883).

Almost surely, 2168820337 is an apocalyptic number.

It is an amenable number.

168820337 is a deficient number, since it is larger than the sum of its proper divisors (27774259).

168820337 is a wasteful number, since it uses less digits than its factorization.

168820337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 168820337 is about 12993.0880471118. The cubic root of 168820337 is about 552.6814915308.

The spelling of 168820337 in words is "one hundred sixty-eight million, eight hundred twenty thousand, three hundred thirty-seven".

Divisors: 1 7 49 1801 1913 12607 13391 88249 93737 3445313 24117191 168820337