Search a number
-
+
20553280 = 265115839
BaseRepresentation
bin100111001100…
…1111001000000
31102200012210121
41032121321000
520230201110
62012310024
7336462046
oct116317100
942605717
1020553280
1110668a90
126a72314
134348207
142a30396
151c0ecda
hex1399e40

20553280 has 56 divisors (see below), whose sum is σ = 53400960. Its totient is φ = 7472640.

The previous prime is 20553263. The next prime is 20553287. The reversal of 20553280 is 8235502.

It is not an unprimeable number, because it can be changed into a prime (20553287) 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 7 ways as a sum of consecutive naturals, for example, 601 + ... + 6439.

Almost surely, 220553280 is an apocalyptic number.

20553280 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 20553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26700480).

20553280 is an abundant number, since it is smaller than the sum of its proper divisors (32847680).

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

20553280 is a wasteful number, since it uses less digits than its factorization.

20553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 20553280 is about 4533.5725427085. The cubic root of 20553280 is about 273.9220834449.

Adding to 20553280 its reverse (8235502), we get a palindrome (28788782).

It can be divided in two parts, 2055 and 3280, that added together give a palindrome (5335).

The spelling of 20553280 in words is "twenty million, five hundred fifty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 5839 11678 23356 29195 46712 58390 64229 93424 116780 128458 186848 233560 256916 321145 373696 467120 513832 642290 934240 1027664 1284580 1868480 2055328 2569160 4110656 5138320 10276640 20553280