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11101980 = 2235414513
BaseRepresentation
bin101010010110…
…011100011100
3202220001001110
4222112130130
510320230410
61033542020
7163236201
oct52263434
922801043
1011101980
1162a309a
123874910
1323b9326
14168dca8
15e94720
hexa9671c

11101980 has 48 divisors (see below), whose sum is σ = 31850784. Its totient is φ = 2887680.

The previous prime is 11101957. The next prime is 11102009. The reversal of 11101980 is 8910111.

11101980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204 + ... + 4716.

It is an arithmetic number, because the mean of its divisors is an integer number (663558).

Almost surely, 211101980 is an apocalyptic number.

11101980 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 11101980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925392).

11101980 is an abundant number, since it is smaller than the sum of its proper divisors (20748804).

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

11101980 is a wasteful number, since it uses less digits than its factorization.

11101980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

The square root of 11101980 is about 3331.9633851530. The cubic root of 11101980 is about 223.0831732753.

The spelling of 11101980 in words is "eleven million, one hundred one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4513 9026 13539 18052 22565 27078 45130 54156 67695 90260 135390 185033 270780 370066 555099 740132 925165 1110198 1850330 2220396 2775495 3700660 5550990 11101980