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68172 = 223131923
BaseRepresentation
bin10000101001001100
310110111220
4100221030
54140142
61243340
7402516
oct205114
9113456
1068172
1147245
1233550
1325050
141abb6
15152ec
hex10a4c

68172 has 48 divisors (see below), whose sum is σ = 188160. Its totient is φ = 19008.

The previous prime is 68171. The next prime is 68207. The reversal of 68172 is 27186.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (68171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2953 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

268172 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 68172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

68172 is an abundant number, since it is smaller than the sum of its proper divisors (119988).

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

68172 is a wasteful number, since it uses less digits than its factorization.

68172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 60 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 68172 is about 261.0976828698. The cubic root of 68172 is about 40.8509359990.

The spelling of 68172 in words is "sixty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 19 23 26 38 39 46 52 57 69 76 78 92 114 138 156 228 247 276 299 437 494 598 741 874 897 988 1196 1311 1482 1748 1794 2622 2964 3588 5244 5681 11362 17043 22724 34086 68172