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21968580 = 22352811303
BaseRepresentation
bin101001111001…
…1011011000100
31112100010020010
41103303123010
521110443310
62102510220
7354505224
oct123633304
945303203
1021968580
1111445357
127435370
13472247a
142cbc084
151dde320
hex14f36c4

21968580 has 48 divisors (see below), whose sum is σ = 61778304. Its totient is φ = 5832960.

The previous prime is 21968567. The next prime is 21968603. The reversal of 21968580 is 8586912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16209 + ... + 17511.

It is an arithmetic number, because the mean of its divisors is an integer number (1287048).

Almost surely, 221968580 is an apocalyptic number.

21968580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21968580 is an abundant number, since it is smaller than the sum of its proper divisors (39809724).

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

21968580 is a wasteful number, since it uses less digits than its factorization.

21968580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 21968580 is about 4687.0651798327. The cubic root of 21968580 is about 280.0704754573.

The spelling of 21968580 in words is "twenty-one million, nine hundred sixty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 281 562 843 1124 1303 1405 1686 2606 2810 3372 3909 4215 5212 5620 6515 7818 8430 13030 15636 16860 19545 26060 39090 78180 366143 732286 1098429 1464572 1830715 2196858 3661430 4393716 5492145 7322860 10984290 21968580