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68761560 = 23357109751
BaseRepresentation
bin1000001100100…
…11011111011000
311210101110010110
410012103133120
5120100332220
610453444320
71463315010
oct406233730
9153343113
1068761560
11358a563a
121b0406a0
1311326c1a
1491bcc40
156083be0
hex41937d8

68761560 has 128 divisors (see below), whose sum is σ = 238233600. Its totient is φ = 15552000.

The previous prime is 68761531. The next prime is 68761571. The reversal of 68761560 is 6516786.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 91185 + ... + 91935.

It is an arithmetic number, because the mean of its divisors is an integer number (1861200).

Almost surely, 268761560 is an apocalyptic number.

68761560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68761560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119116800).

68761560 is an abundant number, since it is smaller than the sum of its proper divisors (169472040).

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

68761560 is a wasteful number, since it uses less digits than its factorization.

68761560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 68761560 is about 8292.2590408163. The cubic root of 68761560 is about 409.6835948714.

The spelling of 68761560 in words is "sixty-eight million, seven hundred sixty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 109 120 140 168 210 218 280 327 420 436 545 654 751 763 840 872 1090 1308 1502 1526 1635 2180 2253 2289 2616 3004 3052 3270 3755 3815 4360 4506 4578 5257 6008 6104 6540 7510 7630 9012 9156 10514 11265 11445 13080 15020 15260 15771 18024 18312 21028 22530 22890 26285 30040 30520 31542 42056 45060 45780 52570 63084 78855 81859 90120 91560 105140 126168 157710 163718 210280 245577 315420 327436 409295 491154 573013 630840 654872 818590 982308 1146026 1227885 1637180 1719039 1964616 2292052 2455770 2865065 3274360 3438078 4584104 4911540 5730130 6876156 8595195 9823080 11460260 13752312 17190390 22920520 34380780 68761560