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11830905 = 325262909
BaseRepresentation
bin101101001000…
…011001111001
3211021001221200
4231020121321
511012042110
61101324413
7202363302
oct55103171
924231850
1011830905
116750809
123b66709
1325b3048
1417dd7a9
15108a6c0
hexb48679

11830905 has 12 divisors (see below), whose sum is σ = 20506980. Its totient is φ = 6309792.

The previous prime is 11830879. The next prime is 11830913. The reversal of 11830905 is 50903811.

11830905 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8415801 + 3415104 = 2901^2 + 1848^2 .

It is not a de Polignac number, because 11830905 - 25 = 11830873 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131410 + ... + 131499.

It is an arithmetic number, because the mean of its divisors is an integer number (1708915).

Almost surely, 211830905 is an apocalyptic number.

11830905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11830905 is a deficient number, since it is larger than the sum of its proper divisors (8676075).

11830905 is a wasteful number, since it uses less digits than its factorization.

11830905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262920 (or 262917 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11830905 is about 3439.6082625787. The cubic root of 11830905 is about 227.8623938825.

The spelling of 11830905 in words is "eleven million, eight hundred thirty thousand, nine hundred five".

Divisors: 1 3 5 9 15 45 262909 788727 1314545 2366181 3943635 11830905