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21256680 = 2335307577
BaseRepresentation
bin101000100010…
…1100111101000
31110222221200110
41101011213220
520420203210
62035334320
7345451554
oct121054750
943887613
1021256680
1110aa9505
1271513a0
134533423
142b74864
151ced420
hex14459e8

21256680 has 64 divisors (see below), whose sum is σ = 64088640. Its totient is φ = 5640192.

The previous prime is 21256679. The next prime is 21256691. The reversal of 21256680 is 8665212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36552 + ... + 37128.

It is an arithmetic number, because the mean of its divisors is an integer number (1001385).

Almost surely, 221256680 is an apocalyptic number.

21256680 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 21256680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32044320).

21256680 is an abundant number, since it is smaller than the sum of its proper divisors (42831960).

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

21256680 is a wasteful number, since it uses less digits than its factorization.

21256680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 21256680 is about 4610.4967194436. The cubic root of 21256680 is about 277.0119332615.

The spelling of 21256680 in words is "twenty-one million, two hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 577 614 921 1154 1228 1535 1731 1842 2308 2456 2885 3070 3462 3684 4605 4616 5770 6140 6924 7368 8655 9210 11540 12280 13848 17310 18420 23080 34620 36840 69240 177139 354278 531417 708556 885695 1062834 1417112 1771390 2125668 2657085 3542780 4251336 5314170 7085560 10628340 21256680