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68070600 = 233252132909
BaseRepresentation
bin1000000111010…
…10110011001000
311202002100022100
410003222303020
5114411224400
610430553400
71454406363
oct403526310
9152070270
1068070600
11354734a4
121a968860
1311144580
14907d0da
155e99100
hex40eacc8

68070600 has 144 divisors (see below), whose sum is σ = 246273300. Its totient is φ = 16750080.

The previous prime is 68070599. The next prime is 68070697. The reversal of 68070600 is 607086.

It can be written as a sum of positive squares in 6 ways, for example, as 25220484 + 42850116 = 5022^2 + 6546^2 .

It is a zygodrome in base 5.

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 35 ways as a sum of consecutive naturals, for example, 21946 + ... + 24854.

Almost surely, 268070600 is an apocalyptic number.

68070600 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 68070600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123136650).

68070600 is an abundant number, since it is smaller than the sum of its proper divisors (178202700).

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

68070600 is a wasteful number, since it uses less digits than its factorization.

68070600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 68070600 is about 8250.4908944862. The cubic root of 68070600 is about 408.3067186133.

Adding to 68070600 its reverse (607086), we get a palindrome (68677686).

The spelling of 68070600 in words is "sixty-eight million, seventy thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2909 2925 3900 4680 5818 5850 7800 8727 11636 11700 14545 17454 23272 23400 26181 29090 34908 37817 43635 52362 58180 69816 72725 75634 87270 104724 113451 116360 130905 145450 151268 174540 189085 209448 218175 226902 261810 290900 302536 340353 349080 378170 436350 453804 523620 567255 581800 654525 680706 756340 872700 907608 945425 1047240 1134510 1309050 1361412 1512680 1701765 1745400 1890850 2269020 2618100 2722824 2836275 3403530 3781700 4538040 5236200 5672550 6807060 7563400 8508825 11345100 13614120 17017650 22690200 34035300 68070600