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21241680 = 2435671321
BaseRepresentation
bin101000100000…
…1111101010000
31110222012002220
41101001331100
520414213210
62035141040
7345360045
oct121017520
943865086
1021241680
1110a99209
127144780
134529655
142b6d1cc
151ce8c70
hex1441f50

21241680 has 80 divisors (see below), whose sum is σ = 66882624. Its totient is φ = 5575680.

The previous prime is 21241667. The next prime is 21241723. The reversal of 21241680 is 8614212.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21241680.

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, 15420 + ... + 16740.

Almost surely, 221241680 is an apocalyptic number.

21241680 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 21241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33441312).

21241680 is an abundant number, since it is smaller than the sum of its proper divisors (45640944).

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

21241680 is a wasteful number, since it uses less digits than its factorization.

21241680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 21241680 is about 4608.8697095926. The cubic root of 21241680 is about 276.9467591333.

Adding to 21241680 its reverse (8614212), we get a palindrome (29855892).

The spelling of 21241680 in words is "twenty-one million, two hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1321 1340 1608 2010 2642 2680 3216 3963 4020 5284 5360 6605 7926 8040 10568 13210 15852 16080 19815 21136 26420 31704 39630 52840 63408 79260 88507 105680 158520 177014 265521 317040 354028 442535 531042 708056 885070 1062084 1327605 1416112 1770140 2124168 2655210 3540280 4248336 5310420 7080560 10620840 21241680