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21072180 = 22351773283
BaseRepresentation
bin101000001100…
…0100100110100
31110122120121010
41100120210310
520343302210
62031352220
7344052633
oct120304464
943576533
1021072180
1110992928
127082670
13449a45c
142b2751a
151cb3920
hex1418934

21072180 has 96 divisors (see below), whose sum is σ = 63552384. Its totient is φ = 5197824.

The previous prime is 21072169. The next prime is 21072187. The reversal of 21072180 is 8127012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21072187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74319 + ... + 74601.

It is an arithmetic number, because the mean of its divisors is an integer number (662004).

Almost surely, 221072180 is an apocalyptic number.

21072180 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 21072180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31776192).

21072180 is an abundant number, since it is smaller than the sum of its proper divisors (42480204).

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

21072180 is a wasteful number, since it uses less digits than its factorization.

21072180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 21072180 is about 4590.4444229290. Note that the first 4 decimals coincide. The cubic root of 21072180 is about 276.2081500590.

Adding to 21072180 its reverse (8127012), we get a palindrome (29199192).

It can be divided in two parts, 210 and 72180, that added together give a triangular number (72390 = T380).

The spelling of 21072180 in words is "twenty-one million, seventy-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 73 85 102 146 170 204 219 255 283 292 340 365 438 510 566 730 849 876 1020 1095 1132 1241 1415 1460 1698 2190 2482 2830 3396 3723 4245 4380 4811 4964 5660 6205 7446 8490 9622 12410 14433 14892 16980 18615 19244 20659 24055 24820 28866 37230 41318 48110 57732 61977 72165 74460 82636 96220 103295 123954 144330 206590 247908 288660 309885 351203 413180 619770 702406 1053609 1239540 1404812 1756015 2107218 3512030 4214436 5268045 7024060 10536090 21072180