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11689744 = 2411173907
BaseRepresentation
bin101100100101…
…111100010000
3210222220022111
4230211330100
510443032434
61054315104
7201234613
oct54457420
923886274
1011689744
116664750
123ab8a94
132563a11
1417a417a
15105d964
hexb25f10

11689744 has 40 divisors (see below), whose sum is σ = 26167968. Its totient is φ = 4999680.

The previous prime is 11689739. The next prime is 11689747. The reversal of 11689744 is 44798611.

It is a super-2 number, since 2×116897442 = 273300229571072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11689697 and 11689706.

It is not an unprimeable number, because it can be changed into a prime (11689747) 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 7 ways as a sum of consecutive naturals, for example, 1039 + ... + 4945.

It is a vampire number, since it can be written as 14967814 (with its own digits).

Almost surely, 211689744 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 11689744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083984).

11689744 is an abundant number, since it is smaller than the sum of its proper divisors (14478224).

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

11689744 is a wasteful number, since it uses less digits than its factorization.

11689744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3937 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 11689744 is about 3419.0267621064. The cubic root of 11689744 is about 226.9525151829.

The spelling of 11689744 in words is "eleven million, six hundred eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 3907 7814 15628 31256 42977 62512 66419 85954 132838 171908 265676 343816 531352 687632 730609 1062704 1461218 2922436 5844872 11689744