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21427650 = 23252172801
BaseRepresentation
bin101000110111…
…1010111000010
31111022122012200
41101233113002
520441141100
62043134030
7350063166
oct121572702
944278180
1021427650
1111105a02
127214316
1345931aa
142bbaca6
151d33e00
hex146f5c2

21427650 has 72 divisors (see below), whose sum is σ = 60977124. Its totient is φ = 5376000.

The previous prime is 21427643. The next prime is 21427657. The reversal of 21427650 is 5672412.

21427650 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 7 + 650 = 666.

It is an interprime number because it is at equal distance from previous prime (21427643) and next prime (21427657).

It can be written as a sum of positive squares in 6 ways, for example, as 10949481 + 10478169 = 3309^2 + 3237^2 .

It is not an unprimeable number, because it can be changed into a prime (21427657) 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 35 ways as a sum of consecutive naturals, for example, 6250 + ... + 9050.

Almost surely, 221427650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21427650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30488562).

21427650 is an abundant number, since it is smaller than the sum of its proper divisors (39549474).

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

21427650 is a wasteful number, since it uses less digits than its factorization.

21427650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 21427650 is about 4629.0009721321. Note that the first 3 decimals coincide. The cubic root of 21427650 is about 277.7526309087.

The spelling of 21427650 in words is "twenty-one million, four hundred twenty-seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 2801 3825 5602 7650 8403 14005 16806 25209 28010 42015 47617 50418 70025 84030 95234 126045 140050 142851 210075 238085 252090 285702 420150 428553 476170 630225 714255 857106 1190425 1260450 1428510 2142765 2380850 3571275 4285530 7142550 10713825 21427650