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1728000001 = 713971631201
BaseRepresentation
bin110011011111111…
…0011000000000001
311110102112111101001
41212333303000001
512014332000001
6443245012001
760551520610
oct14677630001
94412474331
101728000001
11807457a82
12402854001
13217001110
141256d3877
15a1a85001
hex66ff3001

1728000001 has 32 divisors (see below), whose sum is σ = 2163676928. Its totient is φ = 1343692800.

The previous prime is 1727999993. The next prime is 1728000013. The reversal of 1728000001 is 1000008271.

It is a Cunningham number, because it is equal to 12003+1.

It is a 3-Lehmer number, since φ(1728000001) divides (1728000001-1)3.

It is a cyclic number.

It is not a de Polignac number, because 1728000001 - 23 = 1727999993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1728000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438201 + ... + 1439401.

It is an arithmetic number, because the mean of its divisors is an integer number (67614904).

Almost surely, 21728000001 is an apocalyptic number.

It is an amenable number.

1728000001 is a deficient number, since it is larger than the sum of its proper divisors (435676927).

1728000001 is a wasteful number, since it uses less digits than its factorization.

1728000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 1728000001 is about 41569.2193936812. The cubic root of 1728000001 is about 1200.0000002315. Note that the first 6 decimals are identical.

Adding to 1728000001 its reverse (1000008271), we get a palindrome (2728008272).

The spelling of 1728000001 in words is "one billion, seven hundred twenty-eight million, one", and thus it is an aban number.

Divisors: 1 7 13 91 97 163 679 1141 1201 1261 2119 8407 8827 14833 15613 15811 109291 110677 116497 195763 205543 815479 1370341 1438801 1514461 2544919 10601227 17814433 18989011 132923077 246857143 1728000001