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68700 = 22352229
BaseRepresentation
bin10000110001011100
310111020110
4100301130
54144300
61250020
7404202
oct206134
9114213
1068700
1147685
1233910
1325368
141b072
1515550
hex10c5c

68700 has 36 divisors (see below), whose sum is σ = 199640. Its totient is φ = 18240.

The previous prime is 68699. The next prime is 68711. The reversal of 68700 is 786.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 186 + ... + 414.

268700 is an apocalyptic number.

68700 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99820).

68700 is an abundant number, since it is smaller than the sum of its proper divisors (130940).

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

68700 is a wasteful number, since it uses less digits than its factorization.

68700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 68700 is about 262.1068484416. The cubic root of 68700 is about 40.9561299546.

The spelling of 68700 in words is "sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 2290 2748 3435 4580 5725 6870 11450 13740 17175 22900 34350 68700