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80110032 = 24337431049
BaseRepresentation
bin1001100011001…
…10000111010000
312120202000022020
410301212013100
5131002010112
611541011440
71661631642
oct461460720
9176660266
1080110032
1141246942
12229b3b80
131379b4b2
14a8d4892
15707648c
hex4c661d0

80110032 has 80 divisors (see below), whose sum is σ = 217694400. Its totient is φ = 25353216.

The previous prime is 80110031. The next prime is 80110049. The reversal of 80110032 is 23001108.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 80109993 and 80110020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80110031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75844 + ... + 76892.

It is an arithmetic number, because the mean of its divisors is an integer number (2721180).

Almost surely, 280110032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108847200).

80110032 is an abundant number, since it is smaller than the sum of its proper divisors (137584368).

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

80110032 is a wasteful number, since it uses less digits than its factorization.

80110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 80110032 is about 8950.4207722319. The cubic root of 80110032 is about 431.0843948048.

The spelling of 80110032 in words is "eighty million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1049 1591 1776 2064 2098 3147 3182 4196 4773 6294 6364 8392 9546 12588 12728 16784 19092 25176 25456 38184 38813 45107 50352 76368 77626 90214 116439 135321 155252 180428 232878 270642 310504 360856 465756 541284 621008 721712 931512 1082568 1668959 1863024 2165136 3337918 5006877 6675836 10013754 13351672 20027508 26703344 40055016 80110032