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11881056 = 2531111251
BaseRepresentation
bin101101010100…
…101001100000
3211100121202010
4231110221200
511020143211
61102352520
7202662435
oct55245140
924317663
1011881056
116785460
123b8b740
1325ccb15
141813b8c
15109a4a6
hexb54a60

11881056 has 48 divisors (see below), whose sum is σ = 34026048. Its totient is φ = 3600000.

The previous prime is 11881049. The next prime is 11881057. The reversal of 11881056 is 65018811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11881057) 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, 4570 + ... + 6681.

It is an arithmetic number, because the mean of its divisors is an integer number (708876).

Almost surely, 211881056 is an apocalyptic number.

11881056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11881056 is an abundant number, since it is smaller than the sum of its proper divisors (22144992).

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

11881056 is a wasteful number, since it uses less digits than its factorization.

11881056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11275 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 11881056 is about 3446.8907728560. The cubic root of 11881056 is about 228.1839082497.

Adding to 11881056 its reverse (65018811), we get a palindrome (76899867).

It can be divided in two parts, 1188105 and 6, that added together give a triangular number (1188111 = T1541).

The spelling of 11881056 in words is "eleven million, eight hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11251 22502 33753 45004 67506 90008 123761 135012 180016 247522 270024 360032 371283 495044 540048 742566 990088 1080096 1485132 1980176 2970264 3960352 5940528 11881056