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21076000 = 255311479
BaseRepresentation
bin101000001100…
…1100000100000
31110122202211121
41100121200200
520343413000
62031422024
7344100031
oct120314040
943582747
1021076000
1110995790
127084914
13449c10a
142b28a88
151cb4b1a
hex1419820

21076000 has 96 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 7648000.

The previous prime is 21075991. The next prime is 21076019. The reversal of 21076000 is 67012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43761 + ... + 44239.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 221076000 is an apocalyptic number.

21076000 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 21076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

21076000 is an abundant number, since it is smaller than the sum of its proper divisors (35533280).

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

21076000 is a wasteful number, since it uses less digits than its factorization.

21076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 21076000 is about 4590.8604857913. The cubic root of 21076000 is about 276.2248395422.

The spelling of 21076000 in words is "twenty-one million, seventy-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 479 500 550 800 880 958 1000 1100 1375 1760 1916 2000 2200 2395 2750 3832 4000 4400 4790 5269 5500 7664 8800 9580 10538 11000 11975 15328 19160 21076 22000 23950 26345 38320 42152 44000 47900 52690 59875 76640 84304 95800 105380 119750 131725 168608 191600 210760 239500 263450 383200 421520 479000 526900 658625 843040 958000 1053800 1317250 1916000 2107600 2634500 4215200 5269000 10538000 21076000