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68377536 = 2632176983
BaseRepresentation
bin1000001001101…
…01101111000000
311202122221100100
410010311233000
5120001040121
610441322400
71460125263
oct404655700
9152587310
1068377536
1135663067
121aa96400
13112211a6
14911ccda
15600a026
hex4135bc0

68377536 has 84 divisors (see below), whose sum is σ = 207550512. Its totient is φ = 21448704.

The previous prime is 68377511. The next prime is 68377541. The reversal of 68377536 is 63577386.

It is a junction number, because it is equal to n+sod(n) for n = 68377491 and 68377500.

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, 6301 + ... + 13283.

Almost surely, 268377536 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 68377536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103775256).

68377536 is an abundant number, since it is smaller than the sum of its proper divisors (139172976).

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

68377536 is a wasteful number, since it uses less digits than its factorization.

68377536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 7005 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 68377536 is about 8269.0710481891. The cubic root of 68377536 is about 408.9194948385.

The spelling of 68377536 in words is "sixty-eight million, three hundred seventy-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 6983 9792 13966 20949 27932 41898 55864 62847 83796 111728 118711 125694 167592 223456 237422 251388 335184 356133 446912 474844 502776 670368 712266 949688 1005552 1068399 1340736 1424532 1899376 2011104 2136798 2849064 3798752 4022208 4273596 5698128 7597504 8547192 11396256 17094384 22792512 34188768 68377536