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68076 = 22323161
BaseRepresentation
bin10000100111101100
310110101100
4100213230
54134301
61243100
7402321
oct204754
9113340
1068076
1147168
1233490
1324ca8
141ab48
1515286
hex109ec

68076 has 36 divisors (see below), whose sum is σ = 180544. Its totient is φ = 21600.

The previous prime is 68071. The next prime is 68087. The reversal of 68076 is 67086.

68076 = 312 + 322 + ... + 612.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (68071) 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, 1086 + ... + 1146.

268076 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 68076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90272).

68076 is an abundant number, since it is smaller than the sum of its proper divisors (112468).

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

68076 is a wasteful number, since it uses less digits than its factorization.

68076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 68076 is about 260.9137788619. The cubic root of 68076 is about 40.8317515237.

Subtracting from 68076 its reverse (67086), we obtain a triangular number (990 = T44).

The spelling of 68076 in words is "sixty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 61 62 93 122 124 183 186 244 279 366 372 549 558 732 1098 1116 1891 2196 3782 5673 7564 11346 17019 22692 34038 68076