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68116272 = 2437228961
BaseRepresentation
bin1000000111101…
…01111100110000
311202011122221220
410003311330300
5114414210042
610431545040
71454656500
oct403657460
9152148856
1068116272
11354a4844
121a98b180
131115c2b3
149091a00
155ea78ec
hex40f5f30

68116272 has 60 divisors (see below), whose sum is σ = 204703416. Its totient is φ = 19461120.

The previous prime is 68116259. The next prime is 68116283. The reversal of 68116272 is 27261186.

It is a super-2 number, since 2×681162722 = 9279653022355968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12129 + ... + 16832.

Almost surely, 268116272 is an apocalyptic number.

It is an amenable number.

68116272 is an abundant number, since it is smaller than the sum of its proper divisors (136587144).

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

68116272 is a wasteful number, since it uses less digits than its factorization.

68116272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28986 (or 28973 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 68116272 is about 8253.2582656791. The cubic root of 68116272 is about 408.3980160571.

The spelling of 68116272 in words is "sixty-eight million, one hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 28961 57922 86883 115844 173766 202727 231688 347532 405454 463376 608181 695064 810908 1216362 1390128 1419089 1621816 2432724 2838178 3243632 4257267 4865448 5676356 8514534 9730896 11352712 17029068 22705424 34058136 68116272