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12205960 = 2351323473
BaseRepresentation
bin101110100011…
…111110001000
3211222010102121
4232203332020
511111042320
61113341024
7205514614
oct56437610
924863377
1012205960
116987578
124107774
1326b4980
14189a344
1511118aa
hexba3f88

12205960 has 32 divisors (see below), whose sum is σ = 29577240. Its totient is φ = 4506624.

The previous prime is 12205957. The next prime is 12205981. The reversal of 12205960 is 6950221.

It can be written as a sum of positive squares in 4 ways, for example, as 11009124 + 1196836 = 3318^2 + 1094^2 .

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11217 + ... + 12256.

Almost surely, 212205960 is an apocalyptic number.

12205960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12205960 is an abundant number, since it is smaller than the sum of its proper divisors (17371280).

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

12205960 is a wasteful number, since it uses less digits than its factorization.

12205960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23497 (or 23493 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 12205960 is about 3493.7029066594. The cubic root of 12205960 is about 230.2452330760.

The spelling of 12205960 in words is "twelve million, two hundred five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 23473 46946 93892 117365 187784 234730 305149 469460 610298 938920 1220596 1525745 2441192 3051490 6102980 12205960