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21728070 = 23257213379
BaseRepresentation
bin101001011100…
…0101101000110
31111212220022100
41102320231012
521030244240
62053412530
7352454100
oct122705506
944786270
1021728070
11112a0691
12733a146
134669b60
142c58570
151d92e30
hex14b8b46

21728070 has 144 divisors (see below), whose sum is σ = 70958160. Its totient is φ = 4572288.

The previous prime is 21728051. The next prime is 21728071. The reversal of 21728070 is 7082712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21728071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57141 + ... + 57519.

It is an arithmetic number, because the mean of its divisors is an integer number (492765).

Almost surely, 221728070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21728070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35479080).

21728070 is an abundant number, since it is smaller than the sum of its proper divisors (49230090).

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

21728070 is a wasteful number, since it uses less digits than its factorization.

21728070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 21728070 is about 4661.3377908064. The cubic root of 21728070 is about 279.0446608276.

The spelling of 21728070 in words is "twenty-one million, seven hundred twenty-eight thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 379 390 441 455 490 546 585 630 637 735 758 819 882 910 1137 1170 1274 1365 1470 1638 1895 1911 2205 2274 2653 2730 3185 3411 3790 3822 4095 4410 4927 5306 5685 5733 6370 6822 7959 8190 9555 9854 11370 11466 13265 14781 15918 17055 18571 19110 23877 24635 26530 28665 29562 34110 34489 37142 39795 44343 47754 49270 55713 57330 68978 73905 79590 88686 92855 103467 111426 119385 147810 167139 172445 185710 206934 221715 238770 241423 278565 310401 334278 344890 443430 482846 517335 557130 620802 724269 835695 1034670 1207115 1448538 1552005 1671390 2172807 2414230 3104010 3621345 4345614 7242690 10864035 21728070