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11657096 = 2311139953
BaseRepresentation
bin101100011101…
…111110001000
3210221020112022
4230131332020
510441011341
61053504012
7201040463
oct54357610
923836468
1011657096
116642170
123aa2008
132551bb9
1417962da
151053e4b
hexb1df88

11657096 has 32 divisors (see below), whose sum is σ = 24040800. Its totient is φ = 5255040.

The previous prime is 11657083. The next prime is 11657099. The reversal of 11657096 is 69075611.

It is not an unprimeable number, because it can be changed into a prime (11657099) 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 7 ways as a sum of consecutive naturals, for example, 11756 + ... + 12708.

It is an arithmetic number, because the mean of its divisors is an integer number (751275).

Almost surely, 211657096 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 11657096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020400).

11657096 is an abundant number, since it is smaller than the sum of its proper divisors (12383704).

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

11657096 is a wasteful number, since it uses less digits than its factorization.

11657096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 11657096 is about 3414.2489657317. The cubic root of 11657096 is about 226.7410348055.

The spelling of 11657096 in words is "eleven million, six hundred fifty-seven thousand, ninety-six".

Divisors: 1 2 4 8 11 22 44 88 139 278 556 953 1112 1529 1906 3058 3812 6116 7624 10483 12232 20966 41932 83864 132467 264934 529868 1059736 1457137 2914274 5828548 11657096