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11640213 = 331322551
BaseRepresentation
bin101100011001…
…110110010101
3210220101101000
4230121312111
510434441323
61053253513
7200640324
oct54316625
923811330
1011640213
116630512
123a94299
132547300
1417900bb
15104de43
hexb19d95

11640213 has 24 divisors (see below), whose sum is σ = 18680640. Its totient is φ = 7160400.

The previous prime is 11640199. The next prime is 11640241. The reversal of 11640213 is 31204611.

It is a happy number.

11640213 is a `hidden beast` number, since 1 + 1 + 640 + 21 + 3 = 666.

It is not a de Polignac number, because 11640213 - 210 = 11639189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640253) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3288 + ... + 5838.

It is an arithmetic number, because the mean of its divisors is an integer number (778360).

Almost surely, 211640213 is an apocalyptic number.

11640213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11640213 is a deficient number, since it is larger than the sum of its proper divisors (7040427).

11640213 is a wasteful number, since it uses less digits than its factorization.

11640213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11640213 is about 3411.7756374064. The cubic root of 11640213 is about 226.6315187235.

Adding to 11640213 its reverse (31204611), we get a palindrome (42844824).

The spelling of 11640213 in words is "eleven million, six hundred forty thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 117 169 351 507 1521 2551 4563 7653 22959 33163 68877 99489 298467 431119 895401 1293357 3880071 11640213