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11940780 = 2235712803
BaseRepresentation
bin101101100011…
…001110101100
3211110122200010
4231203032230
511024101110
61103533220
7203331525
oct55431654
924418603
1011940780
116816315
123bba210
132621067
14182b84c
1510ad020
hexb633ac

11940780 has 48 divisors (see below), whose sum is σ = 33917184. Its totient is φ = 3138240.

The previous prime is 11940763. The next prime is 11940787. The reversal of 11940780 is 8704911.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11940787) 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 15 ways as a sum of consecutive naturals, for example, 2859 + ... + 5661.

It is an arithmetic number, because the mean of its divisors is an integer number (706608).

Almost surely, 211940780 is an apocalyptic number.

11940780 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 11940780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16958592).

11940780 is an abundant number, since it is smaller than the sum of its proper divisors (21976404).

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

11940780 is a wasteful number, since it uses less digits than its factorization.

11940780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11940780 is about 3455.5433726116. The cubic root of 11940780 is about 228.5656162957.

It can be divided in two parts, 11940 and 780, that added together give a triangular number (12720 = T159).

The spelling of 11940780 in words is "eleven million, nine hundred forty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 2803 4260 5606 8409 11212 14015 16818 28030 33636 42045 56060 84090 168180 199013 398026 597039 796052 995065 1194078 1990130 2388156 2985195 3980260 5970390 11940780