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68040 = 233557
BaseRepresentation
bin10000100111001000
310110100000
4100213020
54134130
61243000
7402240
oct204710
9113300
1068040
1147135
1233460
1324c7b
141ab20
1515260
hex109c8

68040 has 96 divisors (see below), whose sum is σ = 262080. Its totient is φ = 15552.

The previous prime is 68023. The next prime is 68041. The reversal of 68040 is 4086.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68041) by changing a digit.

68040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9717 + ... + 9723.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

268040 is an apocalyptic number.

68040 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 68040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

68040 is an abundant number, since it is smaller than the sum of its proper divisors (194040).

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

68040 is a wasteful number, since it uses less digits than its factorization.

68040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 68040 is about 260.8447814314. The cubic root of 68040 is about 40.8245526957.

The spelling of 68040 in words is "sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 243 252 270 280 315 324 360 378 405 420 486 504 540 567 630 648 756 810 840 945 972 1080 1134 1215 1260 1512 1620 1701 1890 1944 2268 2430 2520 2835 3240 3402 3780 4536 4860 5670 6804 7560 8505 9720 11340 13608 17010 22680 34020 68040