Search a number
-
+
168839946 = 232115997149
BaseRepresentation
bin10100001000001…
…00101100001010
3102202200221212100
422010010230022
5321210334241
624430454230
74120054512
oct1204045412
9382627770
10168839946
118733aa50
1248664376
1328c972c2
14185d0842
15ec519b6
hexa104b0a

168839946 has 96 divisors (see below), whose sum is σ = 412776000. Its totient is φ = 49443840.

The previous prime is 168839929. The next prime is 168839959. The reversal of 168839946 is 649938861.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (2239488) is a multiple of the sum of its prime factors (324).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 168839892 and 168839901.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133080 + ... + 1133228.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2168839946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168839946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

168839946 is an abundant number, since it is smaller than the sum of its proper divisors (243936054).

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

168839946 is a wasteful number, since it uses less digits than its factorization.

168839946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 168839946 is about 12993.8426187175. The cubic root of 168839946 is about 552.7028892526.

The spelling of 168839946 in words is "one hundred sixty-eight million, eight hundred thirty-nine thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 97 99 118 149 177 194 198 291 298 354 447 531 582 649 873 894 1062 1067 1298 1341 1639 1746 1947 2134 2682 3201 3278 3894 4917 5723 5841 6402 8791 9603 9834 11446 11682 14453 14751 17169 17582 19206 26373 28906 29502 34338 43359 51507 52746 62953 79119 86718 96701 103014 125906 130077 158238 158983 188859 193402 260154 290103 317966 377718 476949 566577 580206 852727 870309 953898 1133154 1430847 1705454 1740618 2558181 2861694 5116362 7674543 9379997 15349086 18759994 28139991 56279982 84419973 168839946