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20500344 = 2333107887
BaseRepresentation
bin100111000110…
…0111101111000
31102120112012000
41032030331320
520222002334
62011221000
7336151524
oct116147570
942515160
1020500344
1110632237
126a47760
13432a0a7
142a18d84
151bee299
hex138cf78

20500344 has 64 divisors (see below), whose sum is σ = 57542400. Its totient is φ = 6761952.

The previous prime is 20500343. The next prime is 20500357. The reversal of 20500344 is 44300502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20500343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22669 + ... + 23555.

It is an arithmetic number, because the mean of its divisors is an integer number (899100).

Almost surely, 220500344 is an apocalyptic number.

20500344 is a gapful number since it is divisible by the number (24) 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 20500344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28771200).

20500344 is an abundant number, since it is smaller than the sum of its proper divisors (37042056).

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

20500344 is a wasteful number, since it uses less digits than its factorization.

20500344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20500344 is about 4527.7305573543. The cubic root of 20500344 is about 273.6867145883.

Adding to 20500344 its reverse (44300502), we get a palindrome (64800846).

The spelling of 20500344 in words is "twenty million, five hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 887 963 1284 1774 1926 2568 2661 2889 3548 3852 5322 5778 7096 7704 7983 10644 11556 15966 21288 23112 23949 31932 47898 63864 94909 95796 189818 191592 284727 379636 569454 759272 854181 1138908 1708362 2277816 2562543 3416724 5125086 6833448 10250172 20500344