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68284160 = 28577621
BaseRepresentation
bin1000001000111…
…10111100000000
311202111012020222
410010132330000
5114440043120
610435322212
71456256120
oct404367400
9152435228
1068284160
11355a999a
121aa50368
13111ba839
1490d6c80
155edc525
hex411ef00

68284160 has 72 divisors (see below), whose sum is σ = 186952416. Its totient is φ = 23408640.

The previous prime is 68284133. The next prime is 68284169. The reversal of 68284160 is 6148286.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 68284160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68284169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5150 + ... + 12770.

Almost surely, 268284160 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 68284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93476208).

68284160 is an abundant number, since it is smaller than the sum of its proper divisors (118668256).

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

68284160 is an equidigital number, since it uses as much as digits as its factorization.

68284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 68284160 is about 8263.4230195483. The cubic root of 68284160 is about 408.7332706137.

The spelling of 68284160 in words is "sixty-eight million, two hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 7621 8960 15242 30484 38105 53347 60968 76210 106694 121936 152420 213388 243872 266735 304840 426776 487744 533470 609680 853552 975488 1066940 1219360 1707104 1950976 2133880 2438720 3414208 4267760 4877440 6828416 8535520 9754880 13656832 17071040 34142080 68284160