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11693056 = 21019601
BaseRepresentation
bin101100100110…
…110000000000
3211000001212011
4230212300000
510443134211
61054342304
7201250354
oct54466000
924001764
1011693056
116667191
123aba994
13256538b
1417a5464
15105e921
hexb26c00

11693056 has 44 divisors (see below), whose sum is σ = 24645880. Its totient is φ = 5529600.

The previous prime is 11693047. The next prime is 11693057. The reversal of 11693056 is 65039611.

It is not an unprimeable number, because it can be changed into a prime (11693057) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19156 + ... + 19756.

Almost surely, 211693056 is an apocalyptic number.

11693056 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 11693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322940).

11693056 is an abundant number, since it is smaller than the sum of its proper divisors (12952824).

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

11693056 is an equidigital number, since it uses as much as digits as its factorization.

11693056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 11693056 is about 3419.5110761628. The cubic root of 11693056 is about 226.9739469540.

It can be divided in two parts, 1169 and 3056, that added together give a square (4225 = 652).

The spelling of 11693056 in words is "eleven million, six hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 601 608 1024 1202 1216 2404 2432 4808 4864 9616 9728 11419 19232 19456 22838 38464 45676 76928 91352 153856 182704 307712 365408 615424 730816 1461632 2923264 5846528 11693056