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20841680 = 2452347241
BaseRepresentation
bin100111110000…
…0010011010000
31110012212102002
41033200103100
520313413210
62022413132
7342102626
oct117402320
943185362
1020841680
1110845732
126b911a8
134419572
142aa7516
151c6a4a5
hex13e04d0

20841680 has 80 divisors (see below), whose sum is σ = 51853824. Its totient is φ = 7772160.

The previous prime is 20841679. The next prime is 20841683. The reversal of 20841680 is 8614802.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20841683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86360 + ... + 86600.

Almost surely, 220841680 is an apocalyptic number.

20841680 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 20841680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25926912).

20841680 is an abundant number, since it is smaller than the sum of its proper divisors (31012144).

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

20841680 is a wasteful number, since it uses less digits than its factorization.

20841680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 20841680 is about 4565.2688858379. The cubic root of 20841680 is about 275.1973459497.

The spelling of 20841680 in words is "twenty million, eight hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 241 368 376 460 470 482 752 920 940 964 1081 1205 1840 1880 1928 2162 2410 3760 3856 4324 4820 5405 5543 8648 9640 10810 11086 11327 17296 19280 21620 22172 22654 27715 43240 44344 45308 55430 56635 86480 88688 90616 110860 113270 181232 221720 226540 260521 443440 453080 521042 906160 1042084 1302605 2084168 2605210 4168336 5210420 10420840 20841680