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68350560 = 25351311087
BaseRepresentation
bin1000001001011…
…11001001100000
311202121120100020
410010233021200
5114444204220
610440553440
71456653525
oct404571140
9152546306
1068350560
1135644873
121aa82880
1311211b25
14911314c
156002040
hex412f260

68350560 has 96 divisors (see below), whose sum is σ = 217147392. Its totient is φ = 18071040.

The previous prime is 68350559. The next prime is 68350571. The reversal of 68350560 is 6505386.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62337 + ... + 63423.

It is an arithmetic number, because the mean of its divisors is an integer number (2261952).

Almost surely, 268350560 is an apocalyptic number.

68350560 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 68350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108573696).

68350560 is an abundant number, since it is smaller than the sum of its proper divisors (148796832).

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

68350560 is a wasteful number, since it uses less digits than its factorization.

68350560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 68350560 is about 8267.4397487977. The cubic root of 68350560 is about 408.8657127346.

The spelling of 68350560 in words is "sixty-eight million, three hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 240 262 393 480 524 655 786 1048 1087 1310 1572 1965 2096 2174 2620 3144 3261 3930 4192 4348 5240 5435 6288 6522 7860 8696 10480 10870 12576 13044 15720 16305 17392 20960 21740 26088 31440 32610 34784 43480 52176 62880 65220 86960 104352 130440 142397 173920 260880 284794 427191 521760 569588 711985 854382 1139176 1423970 1708764 2135955 2278352 2847940 3417528 4271910 4556704 5695880 6835056 8543820 11391760 13670112 17087640 22783520 34175280 68350560