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11661104 = 247138009
BaseRepresentation
bin101100011110…
…111100110000
3210221110000202
4230132330300
510441123404
61053534332
7201055250
oct54367460
923843022
1011661104
116645184
123aa43a8
132553980
141797960
15105521e
hexb1ef30

11661104 has 40 divisors (see below), whose sum is σ = 27810720. Its totient is φ = 4612608.

The previous prime is 11661101. The next prime is 11661119. The reversal of 11661104 is 40116611.

It is not an unprimeable number, because it can be changed into a prime (11661101) 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, 2549 + ... + 5460.

It is an arithmetic number, because the mean of its divisors is an integer number (695268).

Almost surely, 211661104 is an apocalyptic number.

11661104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11661104 is an abundant number, since it is smaller than the sum of its proper divisors (16149616).

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

11661104 is a wasteful number, since it uses less digits than its factorization.

11661104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8031 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11661104 is about 3414.8358672124. The cubic root of 11661104 is about 226.7670182332.

Adding to 11661104 its reverse (40116611), we get a palindrome (51777715).

The spelling of 11661104 in words is "eleven million, six hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 8009 16018 32036 56063 64072 104117 112126 128144 208234 224252 416468 448504 728819 832936 897008 1457638 1665872 2915276 5830552 11661104