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11949056 = 21071667
BaseRepresentation
bin101101100101…
…010000000000
3211111002000122
4231211100000
511024332211
61104035412
7203364620
oct55452000
924432018
1011949056
116821559
124002b68
132624a62
141830880
1510b06db
hexb65400

11949056 has 44 divisors (see below), whose sum is σ = 27315168. Its totient is φ = 5117952.

The previous prime is 11949037. The next prime is 11949059. The reversal of 11949056 is 65094911.

It is a super-4 number, since 4×119490564 (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11949059) 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, 6335 + ... + 8001.

Almost surely, 211949056 is an apocalyptic number.

11949056 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 11949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657584).

11949056 is an abundant number, since it is smaller than the sum of its proper divisors (15366112).

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

11949056 is an equidigital number, since it uses as much as digits as its factorization.

11949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 11949056 is about 3456.7406613745. The cubic root of 11949056 is about 228.6184093905.

It can be divided in two parts, 1194905 and 6, that added together give a palindrome (1194911).

The spelling of 11949056 in words is "eleven million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1667 1792 3334 3584 6668 7168 11669 13336 23338 26672 46676 53344 93352 106688 186704 213376 373408 426752 746816 853504 1493632 1707008 2987264 5974528 11949056