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11661136 = 241989431
BaseRepresentation
bin101100011110…
…111101010000
3210221110001221
4230132331100
510441124021
61053534424
7201055324
oct54367520
923843057
1011661136
116645203
123aa4414
1325539a6
141797984
151055241
hexb1ef50

11661136 has 40 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 5448960.

The previous prime is 11661121. The next prime is 11661151. The reversal of 11661136 is 63116611.

It is an interprime number because it is at equal distance from previous prime (11661121) and next prime (11661151).

It is a self number, because there is not a number n which added to its sum of digits gives 11661136.

It is a congruent number.

It is an unprimeable number.

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, 26841 + ... + 27271.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 211661136 is an apocalyptic number.

11661136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11661136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

11661136 is an abundant number, since it is smaller than the sum of its proper divisors (12444464).

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

11661136 is a wasteful number, since it uses less digits than its factorization.

11661136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 11661136 is about 3414.8405526466. The cubic root of 11661136 is about 226.7672256618.

Adding to 11661136 its reverse (63116611), we get a palindrome (74777747).

The spelling of 11661136 in words is "eleven million, six hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 89 152 178 304 356 431 712 862 1424 1691 1724 3382 3448 6764 6896 8189 13528 16378 27056 32756 38359 65512 76718 131024 153436 306872 613744 728821 1457642 2915284 5830568 11661136