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21728250 = 234532937
BaseRepresentation
bin101001011100…
…0101111111010
31111212220120000
41102320233322
521030301000
62053413430
7352454445
oct122705772
944786500
1021728250
11112a0835
12733a276
134669c6b
142c5865c
151d93000
hex14b8bfa

21728250 has 160 divisors (see below), whose sum is σ = 64555920. Its totient is φ = 5443200.

The previous prime is 21728249. The next prime is 21728269. The reversal of 21728250 is 5282712.

It can be written as a sum of positive squares in 8 ways, for example, as 3606201 + 18122049 = 1899^2 + 4257^2 .

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 79 ways as a sum of consecutive naturals, for example, 587232 + ... + 587268.

Almost surely, 221728250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21728250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32277960).

21728250 is an abundant number, since it is smaller than the sum of its proper divisors (42827670).

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

21728250 is a wasteful number, since it uses less digits than its factorization.

21728250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 21728250 is about 4661.3570985283. The cubic root of 21728250 is about 279.0454313808.

The spelling of 21728250 in words is "twenty-one million, seven hundred twenty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 37 45 50 54 58 74 75 81 87 90 111 125 135 145 150 162 174 185 222 225 250 261 270 290 333 370 375 405 435 450 522 555 666 675 725 750 783 810 870 925 999 1073 1110 1125 1305 1350 1450 1566 1665 1850 1998 2025 2146 2175 2250 2349 2610 2775 2997 3219 3330 3375 3625 3915 4050 4350 4625 4698 4995 5365 5550 5994 6438 6525 6750 7250 7830 8325 9250 9657 9990 10125 10730 10875 11745 13050 13875 14985 16095 16650 19314 19575 20250 21750 23490 24975 26825 27750 28971 29970 32190 32625 39150 41625 48285 49950 53650 57942 58725 65250 74925 80475 83250 86913 96570 97875 117450 124875 134125 144855 149850 160950 173826 195750 241425 249750 268250 289710 293625 374625 402375 434565 482850 587250 724275 749250 804750 869130 1207125 1448550 2172825 2414250 3621375 4345650 7242750 10864125 21728250