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68679936 = 2832132293
BaseRepresentation
bin1000001011111…
…11100100000000
311210020022011100
410011333210000
5120040224221
610452014400
71462525023
oct405774400
9153208140
1068679936
113584a286
121b001400
13112c8a20
14919b1ba
156069926
hex417f900

68679936 has 108 divisors (see below), whose sum is σ = 213346588. Its totient is φ = 21123072.

The previous prime is 68679857. The next prime is 68679959. The reversal of 68679936 is 63997686.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14745600 + 53934336 = 3840^2 + 7344^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 28806 + ... + 31098.

Almost surely, 268679936 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 68679936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106673294).

68679936 is an abundant number, since it is smaller than the sum of its proper divisors (144666652).

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

68679936 is a wasteful number, since it uses less digits than its factorization.

68679936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2311 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 68679936 is about 8287.3358807279. The cubic root of 68679936 is about 409.5214245434.

The spelling of 68679936 in words is "sixty-eight million, six hundred seventy-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2293 2304 2496 3328 3744 4586 4992 6879 7488 9172 9984 13758 14976 18344 20637 27516 29809 29952 36688 41274 55032 59618 73376 82548 89427 110064 119236 146752 165096 178854 220128 238472 268281 293504 330192 357708 440256 476944 536562 587008 660384 715416 880512 953888 1073124 1320768 1430832 1761024 1907776 2146248 2641536 2861664 3815552 4292496 5283072 5723328 7631104 8584992 11446656 17169984 22893312 34339968 68679936