Search a number
-
+
11906048 = 210711151
BaseRepresentation
bin101101011010…
…110000000000
3211101220000202
4231122300000
511021443143
61103104332
7203125340
oct55326000
924356022
1011906048
1167a2210
123ba20a8
13260b2cb
14181cd20
1510a2ab8
hexb5ac00

11906048 has 88 divisors (see below), whose sum is σ = 29869824. Its totient is φ = 4608000.

The previous prime is 11906047. The next prime is 11906051. The reversal of 11906048 is 84060911.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 11906048.

It is not an unprimeable number, because it can be changed into a prime (11906047) 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, 78773 + ... + 78923.

Almost surely, 211906048 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 11906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934912).

11906048 is an abundant number, since it is smaller than the sum of its proper divisors (17963776).

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

11906048 is a wasteful number, since it uses less digits than its factorization.

11906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 11906048 is about 3450.5141645848. The cubic root of 11906048 is about 228.3437924182.

Adding to 11906048 its reverse (84060911), we get a palindrome (95966959).

The spelling of 11906048 in words is "eleven million, nine hundred six thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 151 154 176 224 256 302 308 352 448 512 604 616 704 896 1024 1057 1208 1232 1408 1661 1792 2114 2416 2464 2816 3322 3584 4228 4832 4928 5632 6644 7168 8456 9664 9856 11264 11627 13288 16912 19328 19712 23254 26576 33824 38656 39424 46508 53152 67648 77312 78848 93016 106304 135296 154624 186032 212608 270592 372064 425216 541184 744128 850432 1082368 1488256 1700864 2976512 5953024 11906048