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11144925 = 3352111979
BaseRepresentation
bin101010100000…
…111011011101
3202222012222000
4222200323131
510323114200
61034512513
7163505331
oct52407335
922865860
1011144925
116322390
123895739
132402a3c
1416a17c1
15ea2300
hexaa0edd

11144925 has 96 divisors (see below), whose sum is σ = 23808000. Its totient is φ = 5054400.

The previous prime is 11144899. The next prime is 11144929. The reversal of 11144925 is 52944111.

11144925 = 482 + 492 + ... + 3222.

It is not a de Polignac number, because 11144925 - 27 = 11144797 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144929) 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 95 ways as a sum of consecutive naturals, for example, 141036 + ... + 141114.

It is an arithmetic number, because the mean of its divisors is an integer number (248000).

Almost surely, 211144925 is an apocalyptic number.

11144925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11144925 is an abundant number, since it is smaller than the sum of its proper divisors (12663075).

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

11144925 is a wasteful number, since it uses less digits than its factorization.

11144925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11144925 is about 3338.4015636229. The cubic root of 11144925 is about 223.3704487707.

The spelling of 11144925 in words is "eleven million, one hundred forty-four thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 11 15 19 25 27 33 45 55 57 75 79 95 99 135 165 171 209 225 237 275 285 297 395 475 495 513 627 675 711 825 855 869 1045 1185 1425 1485 1501 1881 1975 2133 2475 2565 2607 3135 3555 4275 4345 4503 5225 5643 5925 7425 7505 7821 9405 10665 12825 13035 13509 15675 16511 17775 21725 22515 23463 28215 37525 39105 40527 47025 49533 53325 65175 67545 82555 112575 117315 141075 148599 195525 202635 247665 337725 412775 445797 586575 742995 1013175 1238325 2228985 3714975 11144925