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68070000 = 243542269
BaseRepresentation
bin1000000111010…
…10101001110000
311202002022111010
410003222221300
5114411220000
610430550520
71454404545
oct403525160
9152068433
1068070000
1135472aa9
121a968440
131114420b
14907cbcc
155e98d50
hex40eaa70

68070000 has 100 divisors (see below), whose sum is σ = 219835880. Its totient is φ = 18144000.

The previous prime is 68069999. The next prime is 68070131. The reversal of 68070000 is 7086.

It is a tau number, because it is divible by the number of its divisors (100).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 28866 + ... + 31134.

Almost surely, 268070000 is an apocalyptic number.

68070000 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 68070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109917940).

68070000 is an abundant number, since it is smaller than the sum of its proper divisors (151765880).

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

68070000 is a wasteful number, since it uses less digits than its factorization.

68070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2279 counting only the distinct ones).

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

The square root of 68070000 is about 8250.4545329333. The cubic root of 68070000 is about 408.3055189532.

Adding to 68070000 its reverse (7086), we get a palindrome (68077086).

The spelling of 68070000 in words is "sixty-eight million, seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2269 2500 3000 3750 4538 5000 6000 6807 7500 9076 10000 11345 13614 15000 18152 22690 27228 30000 34035 36304 45380 54456 56725 68070 90760 108912 113450 136140 170175 181520 226900 272280 283625 340350 453800 544560 567250 680700 850875 907600 1134500 1361400 1418125 1701750 2269000 2722800 2836250 3403500 4254375 4538000 5672500 6807000 8508750 11345000 13614000 17017500 22690000 34035000 68070000