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68359800 = 23352113933
BaseRepresentation
bin1000001001100…
…01011001111000
311202122001000110
410010301121320
5120000003200
610441104320
71460022465
oct404613170
9152561013
1068359800
1135650803
121aa880a0
13112160b2
14911666c
156004b50
hex4131678

68359800 has 48 divisors (see below), whose sum is σ = 211917240. Its totient is φ = 18229120.

The previous prime is 68359793. The next prime is 68359807. The reversal of 68359800 is 895386.

It is an interprime number because it is at equal distance from previous prime (68359793) and next prime (68359807).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68359807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56367 + ... + 57566.

Almost surely, 268359800 is an apocalyptic number.

68359800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68359800 is an abundant number, since it is smaller than the sum of its proper divisors (143557440).

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

68359800 is a wasteful number, since it uses less digits than its factorization.

68359800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113952 (or 113943 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 68359800 is about 8267.9985486211. The cubic root of 68359800 is about 408.8841361338.

The spelling of 68359800 in words is "sixty-eight million, three hundred fifty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 113933 227866 341799 455732 569665 683598 911464 1139330 1367196 1708995 2278660 2734392 2848325 3417990 4557320 5696650 6835980 8544975 11393300 13671960 17089950 22786600 34179900 68359800