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21248370 = 232511132127
BaseRepresentation
bin101000100001…
…1100101110010
31110222112021200
41101003211302
520414421440
62035232030
7345415413
oct121034562
943875250
1021248370
1110aa3240
127148616
13452c700
142b7180a
151ceac30
hex1443972

21248370 has 144 divisors (see below), whose sum is σ = 65774592. Its totient is φ = 4717440.

The previous prime is 21248369. The next prime is 21248401. The reversal of 21248370 is 7384212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167247 + ... + 167373.

It is an arithmetic number, because the mean of its divisors is an integer number (456768).

Almost surely, 221248370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21248370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32887296).

21248370 is an abundant number, since it is smaller than the sum of its proper divisors (44526222).

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

21248370 is a wasteful number, since it uses less digits than its factorization.

21248370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 21248370 is about 4609.5954269328. The cubic root of 21248370 is about 276.9758305837.

The spelling of 21248370 in words is "twenty-one million, two hundred forty-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 127 130 143 165 169 195 198 234 254 286 330 338 381 390 429 495 507 585 635 715 762 845 858 990 1014 1143 1170 1270 1287 1397 1430 1521 1651 1690 1859 1905 2145 2286 2535 2574 2794 3042 3302 3718 3810 4191 4290 4953 5070 5577 5715 6435 6985 7605 8255 8382 9295 9906 11154 11430 12573 12870 13970 14859 15210 16510 16731 18161 18590 20955 21463 24765 25146 27885 29718 33462 36322 41910 42926 49530 54483 55770 62865 64389 74295 83655 90805 107315 108966 125730 128778 148590 163449 167310 181610 193167 214630 236093 272415 321945 326898 386334 472186 544830 643890 708279 817245 965835 1180465 1416558 1634490 1931670 2124837 2360930 3541395 4249674 7082790 10624185 21248370