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11861980 = 22513431061
BaseRepresentation
bin101101001111…
…111111011100
3211022122120121
4231033333130
511014040410
61102124324
7202553014
oct55177734
924278517
1011861980
116772099
123b806a4
1325c4230
14180ac44
1510949da
hexb4ffdc

11861980 has 48 divisors (see below), whose sum is σ = 27476064. Its totient is φ = 4273920.

The previous prime is 11861959. The next prime is 11861987. The reversal of 11861980 is 8916811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11861987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10650 + ... + 11710.

It is an arithmetic number, because the mean of its divisors is an integer number (572418).

Almost surely, 211861980 is an apocalyptic number.

11861980 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 11861980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738032).

11861980 is an abundant number, since it is smaller than the sum of its proper divisors (15614084).

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

11861980 is a wasteful number, since it uses less digits than its factorization.

11861980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

The square root of 11861980 is about 3444.1225297599. The cubic root of 11861980 is about 228.0617202354.

The spelling of 11861980 in words is "eleven million, eight hundred sixty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1061 1118 2122 2236 2795 4244 5305 5590 10610 11180 13793 21220 27586 45623 55172 68965 91246 137930 182492 228115 275860 456230 593099 912460 1186198 2372396 2965495 5930990 11861980