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20553344 = 277229113
BaseRepresentation
bin100111001100…
…1111010000000
31102200012212222
41032121322000
520230201334
62012310212
7336462200
oct116317200
942605788
1020553344
1110669039
126a72368
134348256
142a30400
151c0ed2e
hex1399e80

20553344 has 96 divisors (see below), whose sum is σ = 49709700. Its totient is φ = 8429568.

The previous prime is 20553331. The next prime is 20553353. The reversal of 20553344 is 44335502.

It can be written as a sum of positive squares in 2 ways, for example, as 18593344 + 1960000 = 4312^2 + 1400^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 181832 + ... + 181944.

Almost surely, 220553344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24854850).

20553344 is an abundant number, since it is smaller than the sum of its proper divisors (29156356).

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

20553344 is a wasteful number, since it uses less digits than its factorization.

20553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 20553344 is about 4533.5796011540. The cubic root of 20553344 is about 273.9223677627.

Adding to 20553344 its reverse (44335502), we get a palindrome (64888846).

The spelling of 20553344 in words is "twenty million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 113 116 128 196 203 224 226 232 392 406 448 452 464 784 791 812 896 904 928 1421 1568 1582 1624 1808 1856 2842 3136 3164 3248 3277 3616 3712 5537 5684 6272 6328 6496 6554 7232 11074 11368 12656 12992 13108 14464 22148 22736 22939 25312 25984 26216 44296 45472 45878 50624 52432 88592 90944 91756 101248 104864 160573 177184 181888 183512 209728 321146 354368 367024 419456 642292 708736 734048 1284584 1468096 2569168 2936192 5138336 10276672 20553344