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11838780 = 2232589739
BaseRepresentation
bin101101001010…
…010100111100
3211021110202100
4231022110330
511012320110
61101425100
7202425252
oct55122474
924243670
1011838780
116756718
123b6b190
1325b67c5
1418025d2
15108cbc0
hexb4a53c

11838780 has 72 divisors (see below), whose sum is σ = 36363600. Its totient is φ = 3117312.

The previous prime is 11838773. The next prime is 11838781. The reversal of 11838780 is 8783811.

11838780 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11838781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15651 + ... + 16389.

It is an arithmetic number, because the mean of its divisors is an integer number (505050).

Almost surely, 211838780 is an apocalyptic number.

11838780 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 11838780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181800).

11838780 is an abundant number, since it is smaller than the sum of its proper divisors (24524820).

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

11838780 is a wasteful number, since it uses less digits than its factorization.

11838780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 11838780 is about 3440.7528246010. The cubic root of 11838780 is about 227.9129399836.

The spelling of 11838780 in words is "eleven million, eight hundred thirty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 739 801 890 1068 1335 1478 1602 1780 2217 2670 2956 3204 3695 4005 4434 5340 6651 7390 8010 8868 11085 13302 14780 16020 22170 26604 33255 44340 65771 66510 131542 133020 197313 263084 328855 394626 591939 657710 789252 986565 1183878 1315420 1973130 2367756 2959695 3946260 5919390 11838780