Search a number
-
+
168108252 = 223131736229
BaseRepresentation
bin10100000010100…
…10000011011100
3102201022210011120
422001102003130
5321013431002
624403050540
74110616344
oct1201220334
9381283146
10168108252
1186990244
1248370a50
1328a9c250
141847dd24
15eb59cbc
hexa0520dc

168108252 has 48 divisors (see below), whose sum is σ = 424935840. Its totient is φ = 51418368.

The previous prime is 168108233. The next prime is 168108289. The reversal of 168108252 is 252801861.

168108252 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23874 + ... + 30102.

It is an arithmetic number, because the mean of its divisors is an integer number (8852830).

Almost surely, 2168108252 is an apocalyptic number.

168108252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168108252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212467920).

168108252 is an abundant number, since it is smaller than the sum of its proper divisors (256827588).

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

168108252 is a wasteful number, since it uses less digits than its factorization.

168108252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 168108252 is about 12965.6566358978. The cubic root of 168108252 is about 551.9033253299.

The spelling of 168108252 in words is "one hundred sixty-eight million, one hundred eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 173 346 519 692 1038 2076 2249 4498 6229 6747 8996 12458 13494 18687 24916 26988 37374 74748 80977 161954 242931 323908 485862 971724 1077617 2155234 3232851 4310468 6465702 12931404 14009021 28018042 42027063 56036084 84054126 168108252