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11681056 = 252359269
BaseRepresentation
bin101100100011…
…110100100000
3210222110101201
4230203310200
510442243211
61054210544
7201200362
oct54436440
923873351
1011681056
116659172
123ab3a54
13255ca8a
1417a0d32
15105b0c1
hexb23d20

11681056 has 48 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 5471488.

The previous prime is 11681053. The next prime is 11681063. The reversal of 11681056 is 65018611.

It is not an unprimeable number, because it can be changed into a prime (11681053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43290 + ... + 43558.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 211681056 is an apocalyptic number.

11681056 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 11681056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

11681056 is an abundant number, since it is smaller than the sum of its proper divisors (12813344).

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

11681056 is a wasteful number, since it uses less digits than its factorization.

11681056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 11681056 is about 3417.7559889495. The cubic root of 11681056 is about 226.8962763655.

Adding to 11681056 its reverse (65018611), we get a palindrome (76699667).

The spelling of 11681056 in words is "eleven million, six hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 269 368 472 538 736 944 1076 1357 1888 2152 2714 4304 5428 6187 8608 10856 12374 15871 21712 24748 31742 43424 49496 63484 98992 126968 197984 253936 365033 507872 730066 1460132 2920264 5840528 11681056