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80041 = 1347131
BaseRepresentation
bin10011100010101001
311001210111
4103202221
510030131
61414321
7452233
oct234251
9131714
1080041
1155155
123a3a1
132a580
1421253
1518ab1
hex138a9

80041 has 8 divisors (see below), whose sum is σ = 88704. Its totient is φ = 71760.

The previous prime is 80039. The next prime is 80051. The reversal of 80041 is 14008.

Adding to 80041 its reverse (14008), we get a palindrome (94049).

It can be divided in two parts, 800 and 41, that added together give a square (841 = 292).

80041 is nontrivially palindromic in base 11.

It is the 116-th star number.

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

It is not a de Polignac number, because 80041 - 21 = 80039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

80041 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (80021) 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, 546 + ... + 676.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

280041 is an apocalyptic number.

It is an amenable number.

80041 is a deficient number, since it is larger than the sum of its proper divisors (8663).

80041 is a wasteful number, since it uses less digits than its factorization.

80041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191.

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

The square root of 80041 is about 282.9151816358. The cubic root of 80041 is about 43.0960535287.

The spelling of 80041 in words is "eighty thousand, forty-one".

Divisors: 1 13 47 131 611 1703 6157 80041