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20014001 = 722331753
BaseRepresentation
bin100110001011…
…0001110110001
31101122211001022
41030112032301
520110422001
61552545225
7332054600
oct114261661
941584038
1020014001
111032a8a7
126852215
1341b9907
14292da37
151b5511b
hex13163b1

20014001 has 12 divisors (see below), whose sum is σ = 23394852. Its totient is φ = 17071488.

The previous prime is 20013997. The next prime is 20014009. The reversal of 20014001 is 10041002.

Adding to 20014001 its reverse (10041002), we get a palindrome (30055003).

It can be divided in two parts, 2001 and 4001, that multiplied together give a triangular number (8006001 = T4001).

It can be written as a sum of positive squares in 2 ways, for example, as 1960000 + 18054001 = 1400^2 + 4249^2 .

It is not a de Polignac number, because 20014001 - 22 = 20013997 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 20014001.

It is not an unprimeable number, because it can be changed into a prime (20014009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10541 + ... + 12293.

It is an arithmetic number, because the mean of its divisors is an integer number (1949571).

Almost surely, 220014001 is an apocalyptic number.

It is an amenable number.

20014001 is a deficient number, since it is larger than the sum of its proper divisors (3380851).

20014001 is a wasteful number, since it uses less digits than its factorization.

20014001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 20014001 is about 4473.7010405256. The cubic root of 20014001 is about 271.5050878197.

The spelling of 20014001 in words is "twenty million, fourteen thousand, one".

Divisors: 1 7 49 233 1631 1753 11417 12271 85897 408449 2859143 20014001