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21679080 = 23351710627
BaseRepresentation
bin101001010110…
…0101111101000
31111210102002220
41102230233220
521022212310
62052354040
7352161213
oct122545750
944712086
1021679080
11112678a5
127315920
134650777
142c4477a
151d83670
hex14acbe8

21679080 has 64 divisors (see below), whose sum is σ = 68869440. Its totient is φ = 5440512.

The previous prime is 21679051. The next prime is 21679081. The reversal of 21679080 is 8097612.

It is not an unprimeable number, because it can be changed into a prime (21679081) by changing a digit.

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, 3274 + ... + 7353.

It is an arithmetic number, because the mean of its divisors is an integer number (1076085).

Almost surely, 221679080 is an apocalyptic number.

21679080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21679080 is an abundant number, since it is smaller than the sum of its proper divisors (47190360).

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

21679080 is a wasteful number, since it uses less digits than its factorization.

21679080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10654 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 21679080 is about 4656.0798962217. The cubic root of 21679080 is about 278.8347835432.

The spelling of 21679080 in words is "twenty-one million, six hundred seventy-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 10627 21254 31881 42508 53135 63762 85016 106270 127524 159405 180659 212540 255048 318810 361318 425080 541977 637620 722636 903295 1083954 1275240 1445272 1806590 2167908 2709885 3613180 4335816 5419770 7226360 10839540 21679080