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11293641 = 3331103131
BaseRepresentation
bin101011000101…
…001111001001
3210020202222000
4223011033021
510342344031
61042021213
7164665032
oct53051711
923222860
1011293641
116414097
123947809
132455638
1416dda89
15ed13e6
hexac53c9

11293641 has 32 divisors (see below), whose sum is σ = 17571840. Its totient is φ = 7160400.

The previous prime is 11293637. The next prime is 11293643. The reversal of 11293641 is 14639211.

11293641 is a `hidden beast` number, since 1 + 12 + 9 + 3 + 641 = 666.

11293641 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11293641 - 22 = 11293637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11293643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86146 + ... + 86276.

It is an arithmetic number, because the mean of its divisors is an integer number (549120).

Almost surely, 211293641 is an apocalyptic number.

It is an amenable number.

11293641 is a deficient number, since it is larger than the sum of its proper divisors (6278199).

11293641 is a wasteful number, since it uses less digits than its factorization.

11293641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11293641 is about 3360.6012854845. The cubic root of 11293641 is about 224.3596012378.

The spelling of 11293641 in words is "eleven million, two hundred ninety-three thousand, six hundred forty-one".

Divisors: 1 3 9 27 31 93 103 131 279 309 393 837 927 1179 2781 3193 3537 4061 9579 12183 13493 28737 36549 40479 86211 109647 121437 364311 418283 1254849 3764547 11293641