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68856760 = 2357219432
BaseRepresentation
bin1000001101010…
…10101110111000
311210120021201101
410012222232320
5120111404020
610455501144
71464162400
oct406525670
9153507641
1068856760
1135960115
121b0877b4
131135b35b
149205800
1560a200a
hex41aabb8

68856760 has 144 divisors (see below), whose sum is σ = 194221800. Its totient is φ = 21845376.

The previous prime is 68856757. The next prime is 68856763. The reversal of 68856760 is 6765886.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68856757) and next prime (68856763).

It is a self number, because there is not a number n which added to its sum of digits gives 68856760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68856763) 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 35 ways as a sum of consecutive naturals, for example, 1601299 + ... + 1601341.

Almost surely, 268856760 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 68856760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97110900).

68856760 is an abundant number, since it is smaller than the sum of its proper divisors (125365040).

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

68856760 is a wasteful number, since it uses less digits than its factorization.

68856760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 68856760 is about 8297.9973487583. The cubic root of 68856760 is about 409.8725759086.

The spelling of 68856760 in words is "sixty-eight million, eight hundred fifty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 43 49 56 70 76 86 95 98 133 140 152 172 190 196 215 245 266 280 301 344 380 392 430 490 532 602 665 760 817 860 931 980 1064 1204 1330 1505 1634 1720 1849 1862 1960 2107 2408 2660 3010 3268 3698 3724 4085 4214 4655 5320 5719 6020 6536 7396 7448 8170 8428 9245 9310 10535 11438 12040 12943 14792 16340 16856 18490 18620 21070 22876 25886 28595 32680 35131 36980 37240 40033 42140 45752 51772 57190 64715 70262 73960 80066 84280 90601 103544 114380 129430 140524 160132 175655 181202 200165 228760 245917 258860 281048 320264 351310 362404 400330 453005 491834 517720 702620 724808 800660 906010 983668 1229585 1405240 1601320 1721419 1812020 1967336 2459170 3442838 3624040 4918340 6885676 8607095 9836680 13771352 17214190 34428380 68856760