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68680272 = 2431724951
BaseRepresentation
bin1000001011111…
…11101001010000
311210020022121210
410011333221100
5120040232042
610452020120
71462526013
oct405775120
9153208553
1068680272
113584a561
121b001640
13112c8c1b
14919b37a
156069a9c
hex417fa50

68680272 has 60 divisors (see below), whose sum is σ = 188512736. Its totient is φ = 21542400.

The previous prime is 68680267. The next prime is 68680279. The reversal of 68680272 is 27208686.

It is a self number, because there is not a number n which added to its sum of digits gives 68680272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68680279) by changing a digit.

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, 11397 + ... + 16347.

Almost surely, 268680272 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 68680272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94256368).

68680272 is an abundant number, since it is smaller than the sum of its proper divisors (119832464).

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

68680272 is a wasteful number, since it uses less digits than its factorization.

68680272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 68680272 is about 8287.3561525978. The cubic root of 68680272 is about 409.5220923705.

The spelling of 68680272 in words is "sixty-eight million, six hundred eighty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 1156 1734 2312 3468 4624 4951 6936 9902 13872 14853 19804 29706 39608 59412 79216 84167 118824 168334 237648 252501 336668 505002 673336 1010004 1346672 1430839 2020008 2861678 4040016 4292517 5723356 8585034 11446712 17170068 22893424 34340136 68680272