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12382180 = 2252932113
BaseRepresentation
bin101111001110…
…111111100100
3212022002011021
4233032333210
511132212210
61121220524
7210150436
oct57167744
925262137
1012382180
116a97a08
124191744
132746c45
141904656
151148bda
hexbcefe4

12382180 has 24 divisors (see below), whose sum is σ = 26103672. Its totient is φ = 4933632.

The previous prime is 12382163. The next prime is 12382219. The reversal of 12382180 is 8128321.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 11792356 = 768^2 + 3434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4804 + ... + 6916.

It is an arithmetic number, because the mean of its divisors is an integer number (1087653).

Almost surely, 212382180 is an apocalyptic number.

12382180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12382180 is an abundant number, since it is smaller than the sum of its proper divisors (13721492).

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

12382180 is a wasteful number, since it uses less digits than its factorization.

12382180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 12382180 is about 3518.8321926457. The cubic root of 12382180 is about 231.3479760147.

The spelling of 12382180 in words is "twelve million, three hundred eighty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2113 2930 4226 5860 8452 10565 21130 42260 619109 1238218 2476436 3095545 6191090 12382180