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68119296 = 283712671
BaseRepresentation
bin1000000111101…
…10101100000000
311202011211002220
410003312230000
5114414304141
610432011040
71455001350
oct403665400
9152154086
1068119296
11354a7043
121a990a80
131116079b
149092b60
155ea8766
hex40f6b00

68119296 has 72 divisors (see below), whose sum is σ = 207212544. Its totient is φ = 19461120.

The previous prime is 68119291. The next prime is 68119301. The reversal of 68119296 is 69291186.

It is an interprime number because it is at equal distance from previous prime (68119291) and next prime (68119301).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (68119291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 960 + ... + 11711.

It is an arithmetic number, because the mean of its divisors is an integer number (2877952).

Almost surely, 268119296 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 68119296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103606272).

68119296 is an abundant number, since it is smaller than the sum of its proper divisors (139093248).

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

68119296 is a wasteful number, since it uses less digits than its factorization.

68119296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12697 (or 12683 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 68119296 is about 8253.4414640197. The cubic root of 68119296 is about 408.4040595339.

The spelling of 68119296 in words is "sixty-eight million, one hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 12671 25342 38013 50684 76026 88697 101368 152052 177394 202736 266091 304104 354788 405472 532182 608208 709576 810944 1064364 1216416 1419152 1621888 2128728 2432832 2838304 3243776 4257456 4865664 5676608 8514912 9731328 11353216 17029824 22706432 34059648 68119296