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60168 = 23323109
BaseRepresentation
bin1110101100001000
310001112110
432230020
53411133
61142320
7340263
oct165410
9101473
1060168
1141229
122a9a0
1321504
1417cda
1512c63
hexeb08

60168 has 32 divisors (see below), whose sum is σ = 158400. Its totient is φ = 19008.

The previous prime is 60167. The next prime is 60169. The reversal of 60168 is 86106.

It is an interprime number because it is at equal distance from previous prime (60167) and next prime (60169).

It is not an unprimeable number, because it can be changed into a prime (60161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

260168 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 60168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79200).

60168 is an abundant number, since it is smaller than the sum of its proper divisors (98232).

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

60168 is a wasteful number, since it uses less digits than its factorization.

60168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 60168 is about 245.2916631278. The cubic root of 60168 is about 39.1851811264.

The spelling of 60168 in words is "sixty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 109 138 184 218 276 327 436 552 654 872 1308 2507 2616 5014 7521 10028 15042 20056 30084 60168