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68390700 = 223527291123
BaseRepresentation
bin1000001001110…
…00111100101100
311202200121101220
410010320330230
5120002000300
610441503340
71460211540
oct404707454
9152617356
1068390700
1135671a44
121aaa1b50
1311227191
149123a20
15600dda0
hex4138f2c

68390700 has 144 divisors (see below), whose sum is σ = 234151680. Its totient is φ = 15079680.

The previous prime is 68390659. The next prime is 68390701. The reversal of 68390700 is 709386.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (68390701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60339 + ... + 61461.

Almost surely, 268390700 is an apocalyptic number.

68390700 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 68390700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117075840).

68390700 is an abundant number, since it is smaller than the sum of its proper divisors (165760980).

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

68390700 is a wasteful number, since it uses less digits than its factorization.

68390700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 68390700 is about 8269.8669880476. The cubic root of 68390700 is about 408.9457347955.

The spelling of 68390700 in words is "sixty-eight million, three hundred ninety thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1123 1218 1450 1740 2030 2100 2175 2246 2436 2900 3045 3369 4060 4350 4492 5075 5615 6090 6738 7861 8700 10150 11230 12180 13476 15225 15722 16845 20300 22460 23583 28075 30450 31444 32567 33690 39305 47166 56150 60900 65134 67380 78610 84225 94332 97701 112300 117915 130268 157220 162835 168450 195402 196525 227969 235830 325670 336900 390804 393050 455938 471660 488505 589575 651340 683907 786100 814175 911876 977010 1139845 1179150 1367814 1628350 1954020 2279690 2358300 2442525 2735628 3256700 3419535 4559380 4885050 5699225 6839070 9770100 11398450 13678140 17097675 22796900 34195350 68390700