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68428020 = 223510910463
BaseRepresentation
bin1000001010000…
…10000011110100
311202202111121010
410011002003310
5120004144040
610442352220
71460425413
oct405020364
9152674533
1068428020
1135697a91
121aabb670
131123b16b
14913347a
156019e80
hex41420f4

68428020 has 48 divisors (see below), whose sum is σ = 193374720. Its totient is φ = 18078336.

The previous prime is 68427977. The next prime is 68428021. The reversal of 68428020 is 2082486.

It is a happy number.

It is a super-2 number, since 2×684280202 = 9364787842240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68428021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309 + ... + 11771.

It is an arithmetic number, because the mean of its divisors is an integer number (4028640).

Almost surely, 268428020 is an apocalyptic number.

68428020 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 68428020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96687360).

68428020 is an abundant number, since it is smaller than the sum of its proper divisors (124946700).

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

68428020 is a wasteful number, since it uses less digits than its factorization.

68428020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584 (or 10582 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 68428020 is about 8272.1230648486. The cubic root of 68428020 is about 409.0201068939.

The spelling of 68428020 in words is "sixty-eight million, four hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 10463 20926 31389 41852 52315 62778 104630 125556 156945 209260 313890 627780 1140467 2280934 3421401 4561868 5702335 6842802 11404670 13685604 17107005 22809340 34214010 68428020