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68857800 = 233521110433
BaseRepresentation
bin1000001101010…
…10111111001000
311210120100010220
410012222333020
5120111422200
610455510040
71464165414
oct406527710
9153510126
1068857800
1135960980
121b088320
131135b97b
149205d44
1560a24a0
hex41aafc8

68857800 has 96 divisors (see below), whose sum is σ = 232886880. Its totient is φ = 16691200.

The previous prime is 68857799. The next prime is 68857801. The reversal of 68857800 is 875886.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68857799) and next prime (68857801).

It is not an unprimeable number, because it can be changed into a prime (68857801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384 + ... + 11816.

It is an arithmetic number, because the mean of its divisors is an integer number (2425905).

Almost surely, 268857800 is an apocalyptic number.

68857800 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 68857800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116443440).

68857800 is an abundant number, since it is smaller than the sum of its proper divisors (164029080).

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

68857800 is a wasteful number, since it uses less digits than its factorization.

68857800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463 (or 10454 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 68857800 is about 8298.0600142443. The cubic root of 68857800 is about 409.8746394452.

The spelling of 68857800 in words is "sixty-eight million, eight hundred fifty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 10433 20866 31299 41732 52165 62598 83464 104330 114763 125196 156495 208660 229526 250392 260825 312990 344289 417320 459052 521650 573815 625980 688578 782475 918104 1043300 1147630 1251960 1377156 1564950 1721445 2086600 2295260 2754312 2869075 3129900 3442890 4590520 5738150 6259800 6885780 8607225 11476300 13771560 17214450 22952600 34428900 68857800