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68386640 = 2457294211
BaseRepresentation
bin1000001001101…
…11111101010000
311202200101211112
410010313331100
5120001333030
610441432452
71460163650
oct404677520
9152611745
1068386640
1135669993
121aa9b728
131122538a
149122360
15600ca95
hex4137f50

68386640 has 80 divisors (see below), whose sum is σ = 188023680. Its totient is φ = 22632960.

The previous prime is 68386639. The next prime is 68386663. The reversal of 68386640 is 4668386.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 14135 + ... + 18345.

It is an arithmetic number, because the mean of its divisors is an integer number (2350296).

Almost surely, 268386640 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 68386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

68386640 is an abundant number, since it is smaller than the sum of its proper divisors (119637040).

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

68386640 is a wasteful number, since it uses less digits than its factorization.

68386640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 68386640 is about 8269.6215149183. The cubic root of 68386640 is about 408.9376423086.

The spelling of 68386640 in words is "sixty-eight million, three hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 4211 8120 8422 16240 16844 21055 29477 33688 42110 58954 67376 84220 117908 122119 147385 168440 235816 244238 294770 336880 471632 488476 589540 610595 854833 976952 1179080 1221190 1709666 1953904 2358160 2442380 3419332 4274165 4884760 6838664 8548330 9769520 13677328 17096660 34193320 68386640