Search a number
-
+
168335728 = 24117912107
BaseRepresentation
bin10100000100010…
…01100101110000
3102201202100012121
422002021211300
5321043220403
624412004024
74112554501
oct1202114560
9381670177
10168335728
1187026140
1248460614
1328b4b952
14184dcba8
15eba23bd
hexa089970

168335728 has 40 divisors (see below), whose sum is σ = 360334080. Its totient is φ = 75541440.

The previous prime is 168335723. The next prime is 168335731. The reversal of 168335728 is 827533861.

168335728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168335723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7851 + ... + 19957.

It is an arithmetic number, because the mean of its divisors is an integer number (9008352).

Almost surely, 2168335728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168335728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180167040).

168335728 is an abundant number, since it is smaller than the sum of its proper divisors (191998352).

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

168335728 is a wasteful number, since it uses less digits than its factorization.

168335728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12205 (or 12199 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 168335728 is about 12974.4259217894. The cubic root of 168335728 is about 552.1521494751.

The spelling of 168335728 in words is "one hundred sixty-eight million, three hundred thirty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 3476 6952 12107 13904 24214 48428 96856 133177 193712 266354 532708 956453 1065416 1912906 2130832 3825812 7651624 10520983 15303248 21041966 42083932 84167864 168335728