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80024 = 2371429
BaseRepresentation
bin10011100010011000
311001202212
4103202120
510030044
61414252
7452210
oct234230
9131685
1080024
115513a
123a388
132a569
1421240
1518a9e
hex13898

80024 has 16 divisors (see below), whose sum is σ = 171600. Its totient is φ = 34272.

The previous prime is 80021. The next prime is 80039. The reversal of 80024 is 42008.

It is a Harshad number since it is a multiple of its sum of digits (14).

80024 is a modest number, since divided by 24 gives 8 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 79990 and 80008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80021) 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 3 ways as a sum of consecutive naturals, for example, 659 + ... + 770.

It is an arithmetic number, because the mean of its divisors is an integer number (10725).

280024 is an apocalyptic number.

It is an amenable number.

80024 is an abundant number, since it is smaller than the sum of its proper divisors (91576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85800).

80024 is a wasteful number, since it uses less digits than its factorization.

80024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 80024 is about 282.8851357000. The cubic root of 80024 is about 43.0930022392.

The spelling of 80024 in words is "eighty thousand, twenty-four".