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21459680 = 2551189137
BaseRepresentation
bin101000111011…
…1001011100000
31111101021010222
41101313023200
520443202210
62043542212
7350255444
oct121671340
944337128
1021459680
1111127a80
12722a968
1345a4948
142bc8824
151d3d655
hex14772e0

21459680 has 96 divisors (see below), whose sum is σ = 56337120. Its totient is φ = 7659520.

The previous prime is 21459673. The next prime is 21459701. The reversal of 21459680 is 8695412.

It is a self number, because there is not a number n which added to its sum of digits gives 21459680.

It is a congruent 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, 156572 + ... + 156708.

It is an arithmetic number, because the mean of its divisors is an integer number (586845).

Almost surely, 221459680 is an apocalyptic number.

21459680 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 21459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28168560).

21459680 is an abundant number, since it is smaller than the sum of its proper divisors (34877440).

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

21459680 is a wasteful number, since it uses less digits than its factorization.

21459680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 21459680 is about 4632.4593900001. The cubic root of 21459680 is about 277.8909566649.

The spelling of 21459680 in words is "twenty-one million, four hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 89 110 137 160 176 178 220 274 352 356 440 445 548 685 712 880 890 979 1096 1370 1424 1507 1760 1780 1958 2192 2740 2848 3014 3560 3916 4384 4895 5480 6028 7120 7535 7832 9790 10960 12056 12193 14240 15070 15664 19580 21920 24112 24386 30140 31328 39160 48224 48772 60280 60965 78320 97544 120560 121930 134123 156640 195088 241120 243860 268246 390176 487720 536492 670615 975440 1072984 1341230 1950880 2145968 2682460 4291936 5364920 10729840 21459680