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68713600 = 2752109197
BaseRepresentation
bin1000001100001…
…11110010000000
311210022000100011
410012013302000
5120042313400
610452434304
71463025124
oct406076200
9153260304
1068713600
11358725aa
121b018994
131130b147
1491a9584
1560748ba
hex4187c80

68713600 has 96 divisors (see below), whose sum is σ = 172170900. Its totient is φ = 27095040.

The previous prime is 68713571. The next prime is 68713637. The reversal of 68713600 is 631786.

It can be written as a sum of positive squares in 6 ways, for example, as 52649536 + 16064064 = 7256^2 + 4008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348702 + ... + 348898.

Almost surely, 268713600 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 68713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86085450).

68713600 is an abundant number, since it is smaller than the sum of its proper divisors (103457300).

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

68713600 is a wasteful number, since it uses less digits than its factorization.

68713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 68713600 is about 8289.3666826845. The cubic root of 68713600 is about 409.5883236418.

The spelling of 68713600 in words is "sixty-eight million, seven hundred thirteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 128 160 197 200 218 320 394 400 436 545 640 788 800 872 985 1090 1576 1600 1744 1970 2180 2725 3152 3200 3488 3940 4360 4925 5450 6304 6976 7880 8720 9850 10900 12608 13952 15760 17440 19700 21473 21800 25216 31520 34880 39400 42946 43600 63040 69760 78800 85892 87200 107365 126080 157600 171784 174400 214730 315200 343568 348800 429460 536825 630400 687136 858920 1073650 1374272 1717840 2147300 2748544 3435680 4294600 6871360 8589200 13742720 17178400 34356800 68713600