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11689608 = 2337174093
BaseRepresentation
bin101100100101…
…111010001000
3210222220010110
4230211322020
510443031413
61054314320
7201234330
oct54457210
923886113
1011689608
116664637
123ab89a0
132563938
1417a40c0
15105d8c3
hexb25e88

11689608 has 64 divisors (see below), whose sum is σ = 35372160. Its totient is φ = 3142656.

The previous prime is 11689597. The next prime is 11689609. The reversal of 11689608 is 80698611.

It is not an unprimeable number, because it can be changed into a prime (11689609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810 + ... + 4902.

It is an arithmetic number, because the mean of its divisors is an integer number (552690).

Almost surely, 211689608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11689608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686080).

11689608 is an abundant number, since it is smaller than the sum of its proper divisors (23682552).

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

11689608 is a wasteful number, since it uses less digits than its factorization.

11689608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 11689608 is about 3419.0068733479. The cubic root of 11689608 is about 226.9516350478.

The spelling of 11689608 in words is "eleven million, six hundred eighty-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 4093 8186 12279 16372 24558 28651 32744 49116 57302 69581 85953 98232 114604 139162 171906 208743 229208 278324 343812 417486 487067 556648 687624 834972 974134 1461201 1669944 1948268 2922402 3896536 5844804 11689608