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20341200 = 24352112367
BaseRepresentation
bin100110110011…
…0000111010000
31102021102212210
41031212013100
520201404300
62003552120
7334616535
oct115460720
942242783
1020341200
1110533710
12698b640
1342a2819
1429b6d8c
151bbc050
hex13661d0

20341200 has 240 divisors, whose sum is σ = 75280896. Its totient is φ = 4646400.

The previous prime is 20341187. The next prime is 20341201. The reversal of 20341200 is 214302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20341201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303567 + ... + 303633.

Almost surely, 220341200 is an apocalyptic number.

20341200 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 20341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37640448).

20341200 is an abundant number, since it is smaller than the sum of its proper divisors (54939696).

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

20341200 is a wasteful number, since it uses less digits than its factorization.

20341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20341200 is about 4510.1219495708. The cubic root of 20341200 is about 272.9766648063.

Adding to 20341200 its reverse (214302), we get a palindrome (20555502).

The spelling of 20341200 in words is "twenty million, three hundred forty-one thousand, two hundred".