Search a number
-
+
168006321 = 32713120357
BaseRepresentation
bin10100000001110…
…01001010110001
3102201010121100100
422000321022301
5321002200241
624400543013
74110013230
oct1200711261
9381117310
10168006321
11869206aa
1248321a69
1328a64a32
1418454b17
15eb399b6
hexa0392b1

168006321 has 24 divisors (see below), whose sum is σ = 279474624. Its totient is φ = 95266080.

The previous prime is 168006301. The next prime is 168006337. The reversal of 168006321 is 123600861.

It is not a de Polignac number, because 168006321 - 217 = 167875249 is a prime.

It is a super-2 number, since 2×1680063212 = 56452247791910082, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (168006301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926 + ... + 18431.

It is an arithmetic number, because the mean of its divisors is an integer number (11644776).

Almost surely, 2168006321 is an apocalyptic number.

It is an amenable number.

168006321 is a deficient number, since it is larger than the sum of its proper divisors (111468303).

168006321 is a wasteful number, since it uses less digits than its factorization.

168006321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20501 (or 20498 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 168006321 is about 12961.7252323909. The cubic root of 168006321 is about 551.7917554909.

The spelling of 168006321 in words is "one hundred sixty-eight million, six thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 131 393 917 1179 2751 8253 20357 61071 142499 183213 427497 1282491 2666767 8000301 18667369 24000903 56002107 168006321