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68112 = 24321143
BaseRepresentation
bin10000101000010000
310110102200
4100220100
54134422
61243200
7402402
oct205020
9113380
1068112
11471a0
1233500
1325005
141ab72
15152ac
hex10a10

68112 has 60 divisors (see below), whose sum is σ = 212784. Its totient is φ = 20160.

The previous prime is 68111. The next prime is 68113. The reversal of 68112 is 21186.

It is an interprime number because it is at equal distance from previous prime (68111) and next prime (68113).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (68111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1563 + ... + 1605.

268112 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 68112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106392).

68112 is an abundant number, since it is smaller than the sum of its proper divisors (144672).

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

68112 is a wasteful number, since it uses less digits than its factorization.

68112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 68112 is about 260.9827580512. The cubic root of 68112 is about 40.8389478142.

Adding to 68112 its reverse (21186), we get a palindrome (89298).

It can be divided in two parts, 6 and 8112, that added together give a palindrome (8118).

The spelling of 68112 in words is "sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 198 258 264 344 387 396 473 516 528 688 774 792 946 1032 1419 1548 1584 1892 2064 2838 3096 3784 4257 5676 6192 7568 8514 11352 17028 22704 34056 68112