Search a number
-
+
11939760 = 24325723103
BaseRepresentation
bin101101100010…
…111110110000
3211110121021100
4231202332300
511024033020
61103524400
7203325540
oct55427660
924417240
1011939760
116815578
123bb9700
132620761
14182b320
1510aca90
hexb62fb0

11939760 has 240 divisors, whose sum is σ = 48282624. Its totient is φ = 2585088.

The previous prime is 11939749. The next prime is 11939773. The reversal of 11939760 is 6793911.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 115869 + ... + 115971.

Almost surely, 211939760 is an apocalyptic number.

11939760 is a gapful number since it is divisible by the number (10) 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 11939760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24141312).

11939760 is an abundant number, since it is smaller than the sum of its proper divisors (36342864).

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

11939760 is a wasteful number, since it uses less digits than its factorization.

11939760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 11939760 is about 3455.3957805149. The cubic root of 11939760 is about 228.5591079669.

The spelling of 11939760 in words is "eleven million, nine hundred thirty-nine thousand, seven hundred sixty".