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11922084 = 223261289
BaseRepresentation
bin101101011110…
…101010100100
3211102201000200
4231132222210
511023001314
61103310500
7203223156
oct55365244
924381020
1011922084
116803269
123bab430
1326156b5
141824ad6
1510a7709
hexb5eaa4

11922084 has 54 divisors (see below), whose sum is σ = 30982770. Its totient is φ = 3864960.

The previous prime is 11922059. The next prime is 11922089. The reversal of 11922084 is 48022911.

It can be written as a sum of positive squares in 3 ways, for example, as 1617984 + 10304100 = 1272^2 + 3210^2 .

It is not an unprimeable number, because it can be changed into a prime (11922089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 133912 + ... + 134000.

It is an arithmetic number, because the mean of its divisors is an integer number (573755).

Almost surely, 211922084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11922084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491385).

11922084 is an abundant number, since it is smaller than the sum of its proper divisors (19060686).

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

11922084 is a wasteful number, since it uses less digits than its factorization.

11922084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11922084 is about 3452.8370943327. The cubic root of 11922084 is about 228.4462635410.

Adding to 11922084 its reverse (48022911), we get a palindrome (59944995).

The spelling of 11922084 in words is "eleven million, nine hundred twenty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 89 122 178 183 244 267 356 366 534 549 732 801 1068 1098 1602 2196 3204 3721 5429 7442 10858 11163 14884 16287 21716 22326 32574 33489 44652 48861 65148 66978 97722 133956 195444 331169 662338 993507 1324676 1987014 2980521 3974028 5961042 11922084