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21668880 = 24351747113
BaseRepresentation
bin101001010101…
…0010000010000
31111202220010010
41102222100100
521021401010
62052234520
7352116402
oct122522020
944686103
1021668880
1111260172
12730ba40
134648c2c
142c40b72
151d80620
hex14aa410

21668880 has 160 divisors (see below), whose sum is σ = 73281024. Its totient is φ = 5275648.

The previous prime is 21668851. The next prime is 21668917. The reversal of 21668880 is 8886612.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191704 + ... + 191816.

Almost surely, 221668880 is an apocalyptic number.

21668880 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 21668880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36640512).

21668880 is an abundant number, since it is smaller than the sum of its proper divisors (51612144).

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

21668880 is a wasteful number, since it uses less digits than its factorization.

21668880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 21668880 is about 4654.9844253230. The cubic root of 21668880 is about 278.7910461251.

It can be divided in two parts, 216 and 68880, that added together give a palindrome (69096).

The spelling of 21668880 in words is "twenty-one million, six hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 47 48 51 60 68 80 85 94 102 113 120 136 141 170 188 204 226 235 240 255 272 282 339 340 376 408 452 470 510 564 565 678 680 705 752 799 816 904 940 1020 1128 1130 1356 1360 1410 1598 1695 1808 1880 1921 2040 2256 2260 2397 2712 2820 3196 3390 3760 3842 3995 4080 4520 4794 5311 5424 5640 5763 6392 6780 7684 7990 9040 9588 9605 10622 11280 11526 11985 12784 13560 15368 15933 15980 19176 19210 21244 23052 23970 26555 27120 28815 30736 31866 31960 38352 38420 42488 46104 47940 53110 57630 63732 63920 76840 79665 84976 90287 92208 95880 106220 115260 127464 153680 159330 180574 191760 212440 230520 254928 270861 318660 361148 424880 451435 461040 541722 637320 722296 902870 1083444 1274640 1354305 1444592 1805740 2166888 2708610 3611480 4333776 5417220 7222960 10834440 21668880