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21324960 = 2532559251
BaseRepresentation
bin101000101011…
…0010010100000
31111010102100100
41101112102200
520424344320
62041022400
7346154616
oct121262240
944112310
1021324960
1111045838
127184a00
134558527
142b916b6
151d13790
hex14564a0

21324960 has 144 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 5568000.

The previous prime is 21324949. The next prime is 21324971. The reversal of 21324960 is 6942312.

It is an interprime number because it is at equal distance from previous prime (21324949) and next prime (21324971).

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

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, 84835 + ... + 85085.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 221324960 is an apocalyptic number.

21324960 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 21324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

21324960 is an abundant number, since it is smaller than the sum of its proper divisors (52974720).

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

21324960 is a wasteful number, since it uses less digits than its factorization.

21324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 21324960 is about 4617.8956246325. The cubic root of 21324960 is about 277.3082190851.

The spelling of 21324960 in words is "twenty-one million, three hundred twenty-four 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 59 60 72 80 90 96 118 120 144 160 177 180 236 240 251 288 295 354 360 472 480 502 531 590 708 720 753 885 944 1004 1062 1180 1255 1416 1440 1506 1770 1888 2008 2124 2259 2360 2510 2655 2832 3012 3540 3765 4016 4248 4518 4720 5020 5310 5664 6024 7080 7530 8032 8496 9036 9440 10040 10620 11295 12048 14160 14809 15060 16992 18072 20080 21240 22590 24096 28320 29618 30120 36144 40160 42480 44427 45180 59236 60240 72288 74045 84960 88854 90360 118472 120480 133281 148090 177708 180720 222135 236944 266562 296180 355416 361440 444270 473888 533124 592360 666405 710832 888540 1066248 1184720 1332810 1421664 1777080 2132496 2369440 2665620 3554160 4264992 5331240 7108320 10662480 21324960