Search a number
-
+
1728001 = 11214281
BaseRepresentation
bin110100101111000000001
310020210101001
412211320001
5420244001
6101012001
720454622
oct6457001
93223331
101728001
11a80300
126b4001
134866b2
1432da49
15242001
hex1a5e01

1728001 has 6 divisors (see below), whose sum is σ = 1899506. Its totient is φ = 1570800.

The previous prime is 1727989. The next prime is 1728017. The reversal of 1728001 is 1008271.

It is a Cunningham number, because it is equal to 1203+1.

It can be written as a sum of positive squares in only one way, i.e., 874225 + 853776 = 935^2 + 924^2 .

It is not a de Polignac number, because 1728001 - 25 = 1727969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1728001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7020 + ... + 7261.

21728001 is an apocalyptic number.

1728001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1728001 is a deficient number, since it is larger than the sum of its proper divisors (171505).

1728001 is a wasteful number, since it uses less digits than its factorization.

1728001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14303 (or 14292 counting only the distinct ones).

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

The square root of 1728001 is about 1314.5345183752. The cubic root of 1728001 is about 120.0000231481. Note that the first 4 decimals are identical.

The spelling of 1728001 in words is "one million, seven hundred twenty-eight thousand, one".

Divisors: 1 11 121 14281 157091 1728001