Search a number
-
+
80676 = 223583
BaseRepresentation
bin10011101100100100
311002200000
4103230210
510040201
61421300
7454131
oct235444
9132600
1080676
1155682
123a830
132a94b
1421588
1518d86
hex13b24

80676 has 36 divisors (see below), whose sum is σ = 214032. Its totient is φ = 26568.

The previous prime is 80671. The next prime is 80677. The reversal of 80676 is 67608.

80676 = T138 + T139 + ... + T145.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (80671) by changing a digit.

80676 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931 + ... + 1013.

280676 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 80676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107016).

80676 is an abundant number, since it is smaller than the sum of its proper divisors (133356).

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

80676 is a wasteful number, since it uses less digits than its factorization.

80676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 80676 is about 284.0352090851. The cubic root of 80676 is about 43.2097200350.

The spelling of 80676 in words is "eighty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 243 249 324 332 486 498 747 972 996 1494 2241 2988 4482 6723 8964 13446 20169 26892 40338 80676