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20290480 = 2457191907
BaseRepresentation
bin100110101100…
…1101110110000
31102011212022021
41031121232300
520143243410
62002521224
7334315630
oct115315660
942155267
1020290480
11104a95a1
126966214
134285702
1429a26c0
151babeda
hex1359bb0

20290480 has 80 divisors (see below), whose sum is σ = 56782080. Its totient is φ = 6587136.

The previous prime is 20290471. The next prime is 20290489. The reversal of 20290480 is 8409202.

It is an interprime number because it is at equal distance from previous prime (20290471) and next prime (20290489).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20290489) 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, 9687 + ... + 11593.

It is an arithmetic number, because the mean of its divisors is an integer number (709776).

Almost surely, 220290480 is an apocalyptic number.

20290480 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 20290480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28391040).

20290480 is an abundant number, since it is smaller than the sum of its proper divisors (36491600).

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

20290480 is a wasteful number, since it uses less digits than its factorization.

20290480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 20290480 is about 4504.4955322433. The cubic root of 20290480 is about 272.7495903622.

Adding to 20290480 its reverse (8409202), we get a palindrome (28699682).

The spelling of 20290480 in words is "twenty million, two hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 1907 2128 2660 3814 5320 7628 9535 10640 13349 15256 19070 26698 30512 36233 38140 53396 66745 72466 76280 106792 133490 144932 152560 181165 213584 253631 266980 289864 362330 507262 533960 579728 724660 1014524 1067920 1268155 1449320 2029048 2536310 2898640 4058096 5072620 10145240 20290480