Search a number
-
+
11987712 = 283211243
BaseRepresentation
bin101101101110…
…101100000000
3211120001001100
4231232230000
511032101322
61104534400
7203615412
oct55565400
924501040
1011987712
116848600
124021400
132639529
1418409b2
1510bbdac
hexb6eb00

11987712 has 162 divisors, whose sum is σ = 38874836. Its totient is φ = 3548160.

The previous prime is 11987687. The next prime is 11987719. The reversal of 11987712 is 21778911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11987719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 278763 + ... + 278805.

Almost surely, 211987712 is an apocalyptic number.

11987712 is a gapful number since it is divisible by the number (12) 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 11987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19437418).

11987712 is an abundant number, since it is smaller than the sum of its proper divisors (26887124).

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

11987712 is a wasteful number, since it uses less digits than its factorization.

11987712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 11987712 is about 3462.3275408315. The cubic root of 11987712 is about 228.8646759961.

The spelling of 11987712 in words is "eleven million, nine hundred eighty-seven thousand, seven hundred twelve".