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21108960 = 25325107137
BaseRepresentation
bin101000010000…
…1100011100000
31110201110001100
41100201203200
520400441320
62032234400
7344265105
oct120414340
943643040
1021108960
1110a08524
12709ba00
1344b1112
142b36aac
151cbe790
hex14218e0

21108960 has 144 divisors (see below), whose sum is σ = 73238256. Its totient is φ = 5535744.

The previous prime is 21108929. The next prime is 21108977. The reversal of 21108960 is 6980112.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154012 + ... + 154148.

It is an arithmetic number, because the mean of its divisors is an integer number (508599).

Almost surely, 221108960 is an apocalyptic number.

21108960 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 21108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36619128).

21108960 is an abundant number, since it is smaller than the sum of its proper divisors (52129296).

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

21108960 is a wasteful number, since it uses less digits than its factorization.

21108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 21108960 is about 4594.4488243967. The cubic root of 21108960 is about 276.3687572500.

The spelling of 21108960 in words is "twenty-one million, one hundred eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 107 120 137 144 160 180 214 240 274 288 321 360 411 428 480 535 548 642 685 720 822 856 963 1070 1096 1233 1284 1370 1440 1605 1644 1712 1926 2055 2140 2192 2466 2568 2740 3210 3288 3424 3852 4110 4280 4384 4815 4932 5136 5480 6165 6420 6576 7704 8220 8560 9630 9864 10272 10960 12330 12840 13152 14659 15408 16440 17120 19260 19728 21920 24660 25680 29318 30816 32880 38520 39456 43977 49320 51360 58636 65760 73295 77040 87954 98640 117272 131931 146590 154080 175908 197280 219885 234544 263862 293180 351816 439770 469088 527724 586360 659655 703632 879540 1055448 1172720 1319310 1407264 1759080 2110896 2345440 2638620 3518160 4221792 5277240 7036320 10554480 21108960