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12382290 = 2325178093
BaseRepresentation
bin101111001111…
…000001010010
3212022002022100
4233033001102
511132213130
61121221230
7210150654
oct57170122
925262270
1012382290
116a97aa8
124191816
132746ccb
1419046d4
151148c60
hexbcf052

12382290 has 48 divisors (see below), whose sum is σ = 34091928. Its totient is φ = 3107328.

The previous prime is 12382289. The next prime is 12382313. The reversal of 12382290 is 9228321.

It is a happy number.

12382290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10949481 + 1432809 = 3309^2 + 1197^2 .

It is a super-2 number, since 2×123822902 = 306642211288200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2517 + ... + 5576.

Almost surely, 212382290 is an apocalyptic number.

12382290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12382290 is an abundant number, since it is smaller than the sum of its proper divisors (21709638).

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

12382290 is a wasteful number, since it uses less digits than its factorization.

12382290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123 (or 8120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12382290 is about 3518.8478227965. The cubic root of 12382290 is about 231.3486610907.

The spelling of 12382290 in words is "twelve million, three hundred eighty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 8093 16186 24279 40465 48558 72837 80930 121395 137581 145674 242790 275162 364185 412743 687905 728370 825486 1238229 1375810 2063715 2476458 4127430 6191145 12382290