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80401 = 374153
BaseRepresentation
bin10011101000010001
311002021211
4103220101
510033101
61420121
7453256
oct235021
9132254
1080401
1155452
123a641
132a799
142142d
1518c51
hex13a11

80401 has 8 divisors (see below), whose sum is σ = 86184. Its totient is φ = 74880.

The previous prime is 80387. The next prime is 80407. The reversal of 80401 is 10408.

Adding to 80401 its reverse (10408), we get a palindrome (90809).

80401 = T41 + T42 + ... + T81.

80401 = 2002 + 2012.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 65025 = 124^2 + 255^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 80401 - 25 = 80369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1491 + ... + 1543.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

280401 is an apocalyptic number.

80401 is the 201-st centered square number.

It is an amenable number.

80401 is a deficient number, since it is larger than the sum of its proper divisors (5783).

80401 is a wasteful number, since it uses less digits than its factorization.

80401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 80401 is about 283.5507009337. The cubic root of 80401 is about 43.1605678704.

The spelling of 80401 in words is "eighty thousand, four hundred one".

Divisors: 1 37 41 53 1517 1961 2173 80401