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80036 = 221117107
BaseRepresentation
bin10011100010100100
311001210022
4103202210
510030121
61414312
7452225
oct234244
9131708
1080036
1155150
123a398
132a578
142124c
1518aab
hex138a4

80036 has 24 divisors (see below), whose sum is σ = 163296. Its totient is φ = 33920.

The previous prime is 80021. The next prime is 80039. The reversal of 80036 is 63008.

It is a happy number.

It is a super-2 number, since 2×800362 = 12811522592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

80036 is a modest number, since divided by 36 gives 8 as remainder.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 79996 and 80023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80039) by changing a digit.

80036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 695 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

280036 is an apocalyptic number.

It is an amenable number.

80036 is an abundant number, since it is smaller than the sum of its proper divisors (83260).

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 (81648).

80036 is a wasteful number, since it uses less digits than its factorization.

80036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 80036 is about 282.9063449271. The cubic root of 80036 is about 43.0951561355.

The spelling of 80036 in words is "eighty thousand, thirty-six".

Divisors: 1 2 4 11 17 22 34 44 68 107 187 214 374 428 748 1177 1819 2354 3638 4708 7276 20009 40018 80036