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20340500 = 2253172393
BaseRepresentation
bin100110110010…
…1111100010100
31102021101220212
41031211330110
520201344000
62003544552
7334614515
oct115457424
942241825
1020340500
1110533134
12698b158
1342a23cb
1429b6a0c
151bbbc35
hex1365f14

20340500 has 48 divisors (see below), whose sum is σ = 47056464. Its totient is φ = 7654400.

The previous prime is 20340497. The next prime is 20340521. The reversal of 20340500 is 504302.

It can be written as a sum of positive squares in 8 ways, for example, as 10023556 + 10316944 = 3166^2 + 3212^2 .

It is a congruent number.

It is an unprimeable number.

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, 7304 + ... + 9696.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 220340500 is an apocalyptic number.

20340500 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 20340500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

20340500 is an abundant number, since it is smaller than the sum of its proper divisors (26715964).

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

20340500 is a wasteful number, since it uses less digits than its factorization.

20340500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 20340500 is about 4510.0443456800. The cubic root of 20340500 is about 272.9735334627.

Adding to 20340500 its reverse (504302), we get a palindrome (20844802).

The spelling of 20340500 in words is "twenty million, three hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 2393 4250 4786 8500 9572 11965 23930 40681 47860 59825 81362 119650 162724 203405 239300 299125 406810 598250 813620 1017025 1196500 2034050 4068100 5085125 10170250 20340500