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68077900 = 225211199311
BaseRepresentation
bin1000000111011…
…00100101001100
311202002201022201
410003230211030
5114411443100
610431051244
71454436562
oct403544514
9152081281
1068077900
1135478a30
121a970b24
13111479a7
149081a32
155e9b36a
hex40ec94c

68077900 has 72 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 24552000.

The previous prime is 68077879. The next prime is 68077909. The reversal of 68077900 is 977086.

It is a self number, because there is not a number n which added to its sum of digits gives 68077900.

It is not an unprimeable number, because it can be changed into a prime (68077909) 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 23 ways as a sum of consecutive naturals, for example, 218745 + ... + 219055.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 268077900 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 68077900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

68077900 is an abundant number, since it is smaller than the sum of its proper divisors (94411700).

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

68077900 is a wasteful number, since it uses less digits than its factorization.

68077900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 68077900 is about 8250.9332805447. The cubic root of 68077900 is about 408.3213139134.

The spelling of 68077900 in words is "sixty-eight million, seventy-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 311 398 550 622 796 995 1100 1244 1555 1990 2189 3110 3421 3980 4378 4975 6220 6842 7775 8756 9950 10945 13684 15550 17105 19900 21890 31100 34210 43780 54725 61889 68420 85525 109450 123778 171050 218900 247556 309445 342100 618890 680779 1237780 1361558 1547225 2723116 3094450 3403895 6188900 6807790 13615580 17019475 34038950 68077900