Search a number
-
+
20541280 = 2551929233
BaseRepresentation
bin100111001011…
…0111101100000
31102122121100011
41032112331200
520224310110
62012134304
7336412054
oct116267540
942577304
1020541280
111065aa71
126a67394
134342906
142a29c64
151c0b48a
hex1396f60

20541280 has 96 divisors (see below), whose sum is σ = 53071200. Its totient is φ = 7483392.

The previous prime is 20541259. The next prime is 20541293. The reversal of 20541280 is 8214502.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 88044 + ... + 88276.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 220541280 is an apocalyptic number.

20541280 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 20541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600).

20541280 is an abundant number, since it is smaller than the sum of its proper divisors (32529920).

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

20541280 is a wasteful number, since it uses less digits than its factorization.

20541280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 20541280 is about 4532.2488899000. The cubic root of 20541280 is about 273.8687634083.

Adding to 20541280 its reverse (8214502), we get a palindrome (28755782).

The spelling of 20541280 in words is "twenty million, five hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 145 152 160 190 232 233 290 304 380 464 466 551 580 608 760 928 932 1102 1160 1165 1520 1864 2204 2320 2330 2755 3040 3728 4408 4427 4640 4660 5510 6757 7456 8816 8854 9320 11020 13514 17632 17708 18640 22040 22135 27028 33785 35416 37280 44080 44270 54056 67570 70832 88160 88540 108112 128383 135140 141664 177080 216224 256766 270280 354160 513532 540560 641915 708320 1027064 1081120 1283830 2054128 2567660 4108256 5135320 10270640 20541280