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11905056 = 25351531
BaseRepresentation
bin101101011010…
…100000100000
3211101211200000
4231122200200
511021430211
61103100000
7203122422
oct55324040
924354600
1011905056
1167a1499
123ba1600
13260aa17
14181c812
1510a2656
hexb5a820

11905056 has 72 divisors (see below), whose sum is σ = 35131824. Its totient is φ = 3965760.

The previous prime is 11905043. The next prime is 11905057. The reversal of 11905056 is 65050911.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11905057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7011 + ... + 8541.

It is an arithmetic number, because the mean of its divisors is an integer number (487942).

Almost surely, 211905056 is an apocalyptic number.

11905056 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 11905056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565912).

11905056 is an abundant number, since it is smaller than the sum of its proper divisors (23226768).

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

11905056 is an equidigital number, since it uses as much as digits as its factorization.

11905056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 11905056 is about 3450.3704148975. The cubic root of 11905056 is about 228.3374504500.

Adding to 11905056 its reverse (65050911), we get a palindrome (76955967).

The spelling of 11905056 in words is "eleven million, nine hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1531 1944 2592 3062 3888 4593 6124 7776 9186 12248 13779 18372 24496 27558 36744 41337 48992 55116 73488 82674 110232 124011 146976 165348 220464 248022 330696 372033 440928 496044 661392 744066 992088 1322784 1488132 1984176 2976264 3968352 5952528 11905056