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12405090 = 2351972099
BaseRepresentation
bin101111010100…
…100101100010
3212100020120210
4233110211202
511133430330
61121514550
7210304305
oct57244542
925306523
1012405090
117003145
1241a2a56
1327544b9
14190cb3c
1511508b0
hexbd4962

12405090 has 32 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 3289664.

The previous prime is 12405089. The next prime is 12405091. The reversal of 12405090 is 9050421.

12405090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12405089) and next prime (12405091).

It is not an unprimeable number, because it can be changed into a prime (12405091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4861 + ... + 6959.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 212405090 is an apocalyptic number.

12405090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12405090 is an abundant number, since it is smaller than the sum of its proper divisors (17532510).

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

12405090 is a wasteful number, since it uses less digits than its factorization.

12405090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 12405090 is about 3522.0860296137. The cubic root of 12405090 is about 231.4905711694.

The spelling of 12405090 in words is "twelve million, four hundred five thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 197 394 591 985 1182 1970 2099 2955 4198 5910 6297 10495 12594 20990 31485 62970 413503 827006 1240509 2067515 2481018 4135030 6202545 12405090