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21148960 = 255723821
BaseRepresentation
bin101000010101…
…1010100100000
31110210110220211
41100223110200
520403231320
62033143504
7344522530
oct120532440
943713824
1021148960
1110a35588
1270bab94
1344c63a1
142b474c0
151ccb55a
hex142b520

21148960 has 96 divisors (see below), whose sum is σ = 59657472. Its totient is φ = 6927360.

The previous prime is 21148927. The next prime is 21148973. The reversal of 21148960 is 6984112.

It is a happy number.

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, 25350 + ... + 26170.

It is an arithmetic number, because the mean of its divisors is an integer number (621432).

Almost surely, 221148960 is an apocalyptic number.

21148960 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 21148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29828736).

21148960 is an abundant number, since it is smaller than the sum of its proper divisors (38508512).

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

21148960 is a wasteful number, since it uses less digits than its factorization.

21148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 21148960 is about 4598.7998434374. The cubic root of 21148960 is about 276.5432135784.

The spelling of 21148960 in words is "twenty-one million, one hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 821 920 1120 1288 1610 1642 1840 2576 3220 3284 3680 4105 5152 5747 6440 6568 8210 11494 12880 13136 16420 18883 22988 25760 26272 28735 32840 37766 45976 57470 65680 75532 91952 94415 114940 131360 132181 151064 183904 188830 229880 264362 302128 377660 459760 528724 604256 660905 755320 919520 1057448 1321810 1510640 2114896 2643620 3021280 4229792 5287240 10574480 21148960