Search a number
-
+
11889520 = 245331449
BaseRepresentation
bin101101010110…
…101101110000
3211101001100121
4231112231300
511020431040
61102500024
7203026216
oct55265560
924331317
1011889520
116790855
123b94614
132603926
141816cb6
15109cc4a
hexb56b70

11889520 has 40 divisors (see below), whose sum is σ = 27788400. Its totient is φ = 4730880.

The previous prime is 11889491. The next prime is 11889529. The reversal of 11889520 is 2598811.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11889529) 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 7 ways as a sum of consecutive naturals, for example, 26256 + ... + 26704.

It is an arithmetic number, because the mean of its divisors is an integer number (694710).

Almost surely, 211889520 is an apocalyptic number.

11889520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11889520 is an abundant number, since it is smaller than the sum of its proper divisors (15898880).

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

11889520 is a wasteful number, since it uses less digits than its factorization.

11889520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 11889520 is about 3448.1183274360. The cubic root of 11889520 is about 228.2380810481.

The spelling of 11889520 in words is "eleven million, eight hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 331 449 662 898 1324 1655 1796 2245 2648 3310 3592 4490 5296 6620 7184 8980 13240 17960 26480 35920 148619 297238 594476 743095 1188952 1486190 2377904 2972380 5944760 11889520