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12582090 = 2325139801
BaseRepresentation
bin101111111111…
…110011001010
3212200020101100
4233333303022
511210111330
61125402230
7211642323
oct57776312
925606340
1012582090
117114124
124269376
1327b6c31
14195744a
151188060
hexbffcca

12582090 has 24 divisors (see below), whose sum is σ = 32713668. Its totient is φ = 3355200.

The previous prime is 12582083. The next prime is 12582103. The reversal of 12582090 is 9028521.

It can be written as a sum of positive squares in 2 ways, for example, as 12552849 + 29241 = 3543^2 + 171^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69811 + ... + 69990.

Almost surely, 212582090 is an apocalyptic number.

12582090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12582090 is an abundant number, since it is smaller than the sum of its proper divisors (20131578).

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

12582090 is a wasteful number, since it uses less digits than its factorization.

12582090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139814 (or 139811 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12582090 is about 3547.1241872819. The cubic root of 12582090 is about 232.5863709626.

It can be divided in two parts, 125 and 82090, that added together give a triangular number (82215 = T405).

The spelling of 12582090 in words is "twelve million, five hundred eighty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139801 279602 419403 699005 838806 1258209 1398010 2097015 2516418 4194030 6291045 12582090