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67728580 = 22510133529
BaseRepresentation
bin1000000100101…
…11010011000100
311201102222010221
410002113103010
5114314303310
610415354124
71451453263
oct402272304
9151388127
1067728580
113525a537
121a822944
13110549aa
148dd05da
155e2cada
hex40974c4

67728580 has 24 divisors (see below), whose sum is σ = 143642520. Its totient is φ = 26822400.

The previous prime is 67728523. The next prime is 67728589. The reversal of 67728580 is 8582776.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26357956 + 41370624 = 5134^2 + 6432^2 .

It is not an unprimeable number, because it can be changed into a prime (67728589) 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, 14745 + ... + 18784.

It is an arithmetic number, because the mean of its divisors is an integer number (5985105).

Almost surely, 267728580 is an apocalyptic number.

It is an amenable number.

67728580 is an abundant number, since it is smaller than the sum of its proper divisors (75913940).

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

67728580 is a wasteful number, since it uses less digits than its factorization.

67728580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33639 (or 33637 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 67728580 is about 8229.7375413800. The cubic root of 67728580 is about 407.6217258393.

The spelling of 67728580 in words is "sixty-seven million, seven hundred twenty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 33529 67058 134116 167645 335290 670580 3386429 6772858 13545716 16932145 33864290 67728580