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21133980 = 2233575591
BaseRepresentation
bin101000010011…
…1101010011100
31110202201101000
41100213222130
520402241410
62032550300
7344431050
oct120475234
943681330
1021133980
1110a252aa
1270b2390
1344bc61a
142b41c60
151cc6dc0
hex1427a9c

21133980 has 96 divisors (see below), whose sum is σ = 75156480. Its totient is φ = 4829760.

The previous prime is 21133979. The next prime is 21134021. The reversal of 21133980 is 8933112.

It is a super-2 number, since 2×211339802 = 893290221280800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985 + ... + 6575.

It is an arithmetic number, because the mean of its divisors is an integer number (782880).

Almost surely, 221133980 is an apocalyptic number.

21133980 is a gapful number since it is divisible by the number (20) 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 21133980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37578240).

21133980 is an abundant number, since it is smaller than the sum of its proper divisors (54022500).

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

21133980 is a wasteful number, since it uses less digits than its factorization.

21133980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 21133980 is about 4597.1708691324. The cubic root of 21133980 is about 276.4779054686.

It can be divided in two parts, 211 and 33980, that added together give a triangular number (34191 = T261).

The spelling of 21133980 in words is "twenty-one million, one hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 5591 11182 16773 22364 27955 33546 39137 50319 55910 67092 78274 83865 100638 111820 117411 150957 156548 167730 195685 201276 234822 251595 301914 335460 352233 391370 469644 503190 587055 603828 704466 754785 782740 1006380 1056699 1174110 1408932 1509570 1761165 2113398 2348220 3019140 3522330 4226796 5283495 7044660 10566990 21133980