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20444320 = 255139829
BaseRepresentation
bin100110111111…
…1010010100000
31102110200100001
41031333102200
520213204240
62010105344
7335526301
oct115772240
942420301
1020444320
11105a4136
126a1b254
13430a740
142a027a8
151bdc89a
hex137f4a0

20444320 has 48 divisors (see below), whose sum is σ = 52020360. Its totient is φ = 7547904.

The previous prime is 20444293. The next prime is 20444327. The reversal of 20444320 is 2344402.

It can be written as a sum of positive squares in 4 ways, for example, as 17073424 + 3370896 = 4132^2 + 1836^2 .

It is not an unprimeable number, because it can be changed into a prime (20444327) 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 7 ways as a sum of consecutive naturals, for example, 2835 + ... + 6994.

Almost surely, 220444320 is an apocalyptic number.

20444320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20444320 is an abundant number, since it is smaller than the sum of its proper divisors (31576040).

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

20444320 is a wasteful number, since it uses less digits than its factorization.

20444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9857 (or 9849 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 20444320 is about 4521.5395608133. The cubic root of 20444320 is about 273.4371738445.

Adding to 20444320 its reverse (2344402), we get a palindrome (22788722).

The spelling of 20444320 in words is "twenty million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 9829 19658 39316 49145 78632 98290 127777 157264 196580 255554 314528 393160 511108 638885 786320 1022216 1277770 1572640 2044432 2555540 4088864 5111080 10222160 20444320