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21340896 = 2533171101
BaseRepresentation
bin101000101101…
…0001011100000
31111011020012120
41101122023200
520430402041
62041224240
7346252233
oct121321340
944136176
1021340896
1111056805
127192080
134562865
142b9741a
151d18366
hex145a2e0

21340896 has 96 divisors (see below), whose sum is σ = 59222016. Its totient is φ = 6720000.

The previous prime is 21340889. The next prime is 21340931. The reversal of 21340896 is 69804312.

It is a tau number, because it is divible by the number of its divisors (96).

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, 211246 + ... + 211346.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 221340896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21340896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611008).

21340896 is an abundant number, since it is smaller than the sum of its proper divisors (37881120).

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

21340896 is a wasteful number, since it uses less digits than its factorization.

21340896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 21340896 is about 4619.6207636558. The cubic root of 21340896 is about 277.3772787446.

The spelling of 21340896 in words is "twenty-one million, three hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 71 93 96 101 124 142 186 202 213 248 284 303 372 404 426 496 568 606 744 808 852 992 1136 1212 1488 1616 1704 2201 2272 2424 2976 3131 3232 3408 4402 4848 6262 6603 6816 7171 8804 9393 9696 12524 13206 14342 17608 18786 21513 25048 26412 28684 35216 37572 43026 50096 52824 57368 70432 75144 86052 100192 105648 114736 150288 172104 211296 222301 229472 300576 344208 444602 666903 688416 889204 1333806 1778408 2667612 3556816 5335224 7113632 10670448 21340896