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68712 = 2337409
BaseRepresentation
bin10000110001101000
310111020220
4100301220
54144322
61250040
7404220
oct206150
9114226
1068712
1147696
1233920
1325377
141b080
151555c
hex10c68

68712 has 32 divisors (see below), whose sum is σ = 196800. Its totient is φ = 19584.

The previous prime is 68711. The next prime is 68713. The reversal of 68712 is 21786.

It can be divided in two parts, 68 and 712, that added together give a triangular number (780 = T39).

It is an interprime number because it is at equal distance from previous prime (68711) and next prime (68713).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (68711) 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, 37 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (6150).

268712 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 68712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98400).

68712 is an abundant number, since it is smaller than the sum of its proper divisors (128088).

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

68712 is a wasteful number, since it uses less digits than its factorization.

68712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

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

The square root of 68712 is about 262.1297388699. The cubic root of 68712 is about 40.9585144521.

The spelling of 68712 in words is "sixty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 409 818 1227 1636 2454 2863 3272 4908 5726 8589 9816 11452 17178 22904 34356 68712