Search a number
-
+
80190 = 236511
BaseRepresentation
bin10011100100111110
311002000000
4103210332
510031230
61415130
7452535
oct234476
9132000
1080190
1155280
123a4a6
132a666
142131c
1518b60
hex1393e

80190 has 56 divisors (see below), whose sum is σ = 236088. Its totient is φ = 19440.

The previous prime is 80177. The next prime is 80191. The reversal of 80190 is 9108.

It is a super-2 number, since 2×801902 = 12860872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80191) by changing a digit.

80190 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 27 ways as a sum of consecutive naturals, for example, 7285 + ... + 7295.

280190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118044).

80190 is an abundant number, since it is smaller than the sum of its proper divisors (155898).

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

80190 is a wasteful number, since it uses less digits than its factorization.

80190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 80190 is about 283.1783890059. The cubic root of 80190 is about 43.1227787136.

Adding to 80190 its sum of digits (18), we get a palindrome (80208).

Adding to 80190 its reverse (9108), we get a palindrome (89298).

The spelling of 80190 in words is "eighty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1782 2430 2673 2970 3645 4455 5346 7290 8019 8910 13365 16038 26730 40095 80190