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21793000 = 2353193137
BaseRepresentation
bin101001100100…
…0100011101000
31112000012101011
41103020203220
521034334000
62055033304
7353144305
oct123104350
945005334
1021793000
1111335449
12736b834
134690588
142c740ac
151da72ba
hex14c88e8

21793000 has 128 divisors (see below), whose sum is σ = 56908800. Its totient is φ = 7776000.

The previous prime is 21792989. The next prime is 21793021. The reversal of 21793000 is 39712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588982 + ... + 589018.

It is an arithmetic number, because the mean of its divisors is an integer number (444600).

Almost surely, 221793000 is an apocalyptic number.

21793000 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 21793000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28454400).

21793000 is an abundant number, since it is smaller than the sum of its proper divisors (35115800).

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

21793000 is a wasteful number, since it uses less digits than its factorization.

21793000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 21793000 is about 4668.2973341466. The cubic root of 21793000 is about 279.3223408366.

The spelling of 21793000 in words is "twenty-one million, seven hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 31 37 38 40 50 62 74 76 95 100 124 125 148 152 155 185 190 200 248 250 296 310 370 380 475 500 589 620 703 740 760 775 925 950 1000 1147 1178 1240 1406 1480 1550 1850 1900 2294 2356 2375 2812 2945 3100 3515 3700 3800 3875 4588 4625 4712 4750 5624 5735 5890 6200 7030 7400 7750 9176 9250 9500 11470 11780 14060 14725 15500 17575 18500 19000 21793 22940 23560 28120 28675 29450 31000 35150 37000 43586 45880 57350 58900 70300 73625 87172 87875 108965 114700 117800 140600 143375 147250 174344 175750 217930 229400 286750 294500 351500 435860 544825 573500 589000 703000 871720 1089650 1147000 2179300 2724125 4358600 5448250 10896500 21793000