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21070980 = 22325722389
BaseRepresentation
bin101000001100…
…0010010000100
31110122111221200
41100120102010
520343232410
62031342500
7344046300
oct120302204
943574850
1021070980
1110991a37
127081a30
134499a48
142b26d00
151cb33c0
hex1418484

21070980 has 108 divisors (see below), whose sum is σ = 74381580. Its totient is φ = 4814208.

The previous prime is 21070969. The next prime is 21070991. The reversal of 21070980 is 8907012.

It is an interprime number because it is at equal distance from previous prime (21070969) and next prime (21070991).

It can be written as a sum of positive squares in 2 ways, for example, as 6140484 + 14930496 = 2478^2 + 3864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7626 + ... + 10014.

Almost surely, 221070980 is an apocalyptic number.

21070980 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 21070980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37190790).

21070980 is an abundant number, since it is smaller than the sum of its proper divisors (53310600).

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

21070980 is a wasteful number, since it uses less digits than its factorization.

21070980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 21070980 is about 4590.3137147694. The cubic root of 21070980 is about 276.2029068731.

Adding to 21070980 its reverse (8907012), we get a palindrome (29977992).

The spelling of 21070980 in words is "twenty-one million, seventy thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2389 2940 4410 4778 7167 8820 9556 11945 14334 16723 21501 23890 28668 33446 35835 43002 47780 50169 66892 71670 83615 86004 100338 107505 117061 143340 150507 167230 200676 215010 234122 250845 301014 334460 351183 430020 468244 501690 585305 602028 702366 752535 1003380 1053549 1170610 1404732 1505070 1755915 2107098 2341220 3010140 3511830 4214196 5267745 7023660 10535490 21070980