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68000000 = 285617
BaseRepresentation
bin1000000110110…
…01100100000000
311201221202110112
410003121210000
5114402000000
610425250452
71453663505
oct403314400
9151852415
1068000000
1135425452
121a933a28
131111b3b3
1490614ac
155e83235
hex40d9900

68000000 has 126 divisors (see below), whose sum is σ = 179646138. Its totient is φ = 25600000.

The previous prime is 67999979. The next prime is 68000003. The reversal of 68000000 is 86.

Adding to 68000000 its reverse (86), we get a palindrome (68000086).

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 67108864 + 891136 = 8192^2 + 944^2 .

It is not an unprimeable number, because it can be changed into a prime (68000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999992 + ... + 4000008.

It is an arithmetic number, because the mean of its divisors is an integer number (1425763).

Almost surely, 268000000 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 68000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89823069).

68000000 is an abundant number, since it is smaller than the sum of its proper divisors (111646138).

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

68000000 is an frugal number, since it uses more digits than its factorization.

68000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 68000000 is about 8246.2112512353. The cubic root of 68000000 is about 408.1655101917.

The spelling of 68000000 in words is "sixty-eight million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 320 340 400 425 500 544 625 640 680 800 850 1000 1088 1250 1280 1360 1600 1700 2000 2125 2176 2500 2720 3125 3200 3400 4000 4250 4352 5000 5440 6250 6400 6800 8000 8500 10000 10625 10880 12500 13600 15625 16000 17000 20000 21250 21760 25000 27200 31250 32000 34000 40000 42500 50000 53125 54400 62500 68000 80000 85000 100000 106250 108800 125000 136000 160000 170000 200000 212500 250000 265625 272000 340000 400000 425000 500000 531250 544000 680000 800000 850000 1000000 1062500 1360000 1700000 2000000 2125000 2720000 3400000 4000000 4250000 6800000 8500000 13600000 17000000 34000000 68000000