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11690112 = 27374349
BaseRepresentation
bin101100100110…
…000010000000
3210222220211010
4230212002000
510443040422
61054320520
7201235650
oct54460200
923886733
1011690112
116664a55
123ab9140
132563c35
1417a4360
15105db0c
hexb26080

11690112 has 64 divisors (see below), whose sum is σ = 35496000. Its totient is φ = 3339264.

The previous prime is 11690099. The next prime is 11690123. The reversal of 11690112 is 21109611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514 + ... + 4862.

It is an arithmetic number, because the mean of its divisors is an integer number (554625).

Almost surely, 211690112 is an apocalyptic number.

11690112 is a gapful number since it is divisible by the number (12) 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 11690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17748000).

11690112 is an abundant number, since it is smaller than the sum of its proper divisors (23805888).

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

11690112 is an equidigital number, since it uses as much as digits as its factorization.

11690112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 11690112 is about 3419.0805781672. The cubic root of 11690112 is about 226.9548966907.

Adding to 11690112 its reverse (21109611), we get a palindrome (32799723).

The spelling of 11690112 in words is "eleven million, six hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4349 8698 13047 17396 26094 30443 34792 52188 60886 69584 91329 104376 121772 139168 182658 208752 243544 278336 365316 417504 487088 556672 730632 835008 974176 1461264 1670016 1948352 2922528 3896704 5845056 11690112