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11917841 = 132321733
BaseRepresentation
bin101101011101…
…101000010001
3211102111012112
4231131220101
511022332331
61103235105
7203204615
oct55355021
924374175
1011917841
116800061
123ba8a95
1326137a0
141823345
1510a632b
hexb5da11

11917841 has 12 divisors (see below), whose sum is σ = 13424628. Its totient is φ = 10516704.

The previous prime is 11917819. The next prime is 11917849. The reversal of 11917841 is 14871911.

11917841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3385600 + 8532241 = 1840^2 + 2921^2 .

It is not a de Polignac number, because 11917841 - 26 = 11917777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11917798 and 11917807.

It is not an unprimeable number, because it can be changed into a prime (11917849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6011 + ... + 7743.

It is an arithmetic number, because the mean of its divisors is an integer number (1118719).

Almost surely, 211917841 is an apocalyptic number.

It is an amenable number.

11917841 is a deficient number, since it is larger than the sum of its proper divisors (1506787).

11917841 is a wasteful number, since it uses less digits than its factorization.

11917841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1769 counting only the distinct ones).

The product of its digits is 2016, while the sum is 32.

The square root of 11917841 is about 3452.2226173872. Note that the first 3 decimals coincide. The cubic root of 11917841 is about 228.4191594287.

The spelling of 11917841 in words is "eleven million, nine hundred seventeen thousand, eight hundred forty-one".

Divisors: 1 13 23 299 529 1733 6877 22529 39859 518167 916757 11917841