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21075900 = 22352163431
BaseRepresentation
bin101000001100…
…1011110111100
31110122202200220
41100121132330
520343412100
62031421340
7344066526
oct120313674
943582626
1021075900
11109956aa
127084850
13449c061
142b28a16
151cb4aa0
hex14197bc

21075900 has 72 divisors (see below), whose sum is σ = 61496064. Its totient is φ = 5572800.

The previous prime is 21075871. The next prime is 21075907. The reversal of 21075900 is 957012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21075907) 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 23 ways as a sum of consecutive naturals, for example, 48685 + ... + 49115.

It is an arithmetic number, because the mean of its divisors is an integer number (854112).

Almost surely, 221075900 is an apocalyptic number.

21075900 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 21075900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30748032).

21075900 is an abundant number, since it is smaller than the sum of its proper divisors (40420164).

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

21075900 is a wasteful number, since it uses less digits than its factorization.

21075900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 21075900 is about 4590.8495945740. The cubic root of 21075900 is about 276.2244026704.

The spelling of 21075900 in words is "twenty-one million, seventy-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 431 489 652 815 862 978 1293 1630 1724 1956 2155 2445 2586 3260 4075 4310 4890 5172 6465 8150 8620 9780 10775 12225 12930 16300 21550 24450 25860 32325 43100 48900 64650 70253 129300 140506 210759 281012 351265 421518 702530 843036 1053795 1405060 1756325 2107590 3512650 4215180 5268975 7025300 10537950 21075900