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21118080 = 273517647
BaseRepresentation
bin101000010001…
…1110010000000
31110201220120010
41100203302000
520401234310
62032344520
7344333514
oct120436200
943656503
1021118080
1110a14365
1270a5140
1344b5309
142b3a144
151cc2320
hex1423c80

21118080 has 128 divisors (see below), whose sum is σ = 71383680. Its totient is φ = 5292032.

The previous prime is 21118057. The next prime is 21118091. The reversal of 21118080 is 8081112.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32317 + ... + 32963.

It is an arithmetic number, because the mean of its divisors is an integer number (557685).

Almost surely, 221118080 is an apocalyptic number.

21118080 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 21118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35691840).

21118080 is an abundant number, since it is smaller than the sum of its proper divisors (50265600).

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

21118080 is a wasteful number, since it uses less digits than its factorization.

21118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 21118080 is about 4595.4412192955. The cubic root of 21118080 is about 276.4085526760.

Adding to 21118080 its reverse (8081112), we get a palindrome (29199192).

The spelling of 21118080 in words is "twenty-one million, one hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 647 680 816 960 1020 1088 1294 1360 1632 1920 1941 2040 2176 2588 2720 3235 3264 3882 4080 5176 5440 6470 6528 7764 8160 9705 10352 10880 10999 12940 15528 16320 19410 20704 21998 25880 31056 32640 32997 38820 41408 43996 51760 54995 62112 65994 77640 82816 87992 103520 109990 124224 131988 155280 164985 175984 207040 219980 248448 263976 310560 329970 351968 414080 439960 527952 621120 659940 703936 879920 1055904 1242240 1319880 1407872 1759840 2111808 2639760 3519680 4223616 5279520 7039360 10559040 21118080