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21128250 = 23531113197
BaseRepresentation
bin101000010011…
…0010000111010
31110202102111210
41100212100322
520402101000
62032503550
7344405253
oct120462072
943672453
1021128250
1110a20a70
1270aabb6
1344b9b30
142b3db2a
151cc5350
hex142643a

21128250 has 128 divisors (see below), whose sum is σ = 62270208. Its totient is φ = 4704000.

The previous prime is 21128213. The next prime is 21128257. The reversal of 21128250 is 5282112.

It is a happy number.

21128250 is a nontrivial binomial coefficient, being equal to C(6501, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21128257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107152 + ... + 107348.

It is an arithmetic number, because the mean of its divisors is an integer number (486486).

Almost surely, 221128250 is an apocalyptic number.

21128250 is the 6500-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21128250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104).

21128250 is an abundant number, since it is smaller than the sum of its proper divisors (41141958).

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

21128250 is a wasteful number, since it uses less digits than its factorization.

21128250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 21128250 is about 4596.5476175060. The cubic root of 21128250 is about 276.4529163027.

It can be divided in two parts, 21 and 128250, that added together give a triangular number (128271 = T506).

The spelling of 21128250 in words is "twenty-one million, one hundred twenty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 125 130 143 150 165 195 197 250 275 286 325 330 375 390 394 429 550 591 650 715 750 825 858 975 985 1182 1375 1430 1625 1650 1950 1970 2145 2167 2561 2750 2955 3250 3575 4125 4290 4334 4875 4925 5122 5910 6501 7150 7683 8250 9750 9850 10725 10835 12805 13002 14775 15366 17875 21450 21670 24625 25610 28171 29550 32505 35750 38415 49250 53625 54175 56342 64025 65010 73875 76830 84513 107250 108350 128050 140855 147750 162525 169026 192075 270875 281710 320125 325050 384150 422565 541750 640250 704275 812625 845130 960375 1408550 1625250 1920750 2112825 3521375 4225650 7042750 10564125 21128250