Search a number
-
+
21059280 = 24325112659
BaseRepresentation
bin101000001010…
…1011011010000
31110121220220100
41100111123100
520342344110
62031212400
7344000214
oct120253320
943556810
1021059280
1110984170
127077100
134494618
142b22944
151caebc0
hex14156d0

21059280 has 120 divisors (see below), whose sum is σ = 77182560. Its totient is φ = 5103360.

The previous prime is 21059273. The next prime is 21059309. The reversal of 21059280 is 8295012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6591 + ... + 9249.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 221059280 is an apocalyptic number.

21059280 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 21059280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38591280).

21059280 is an abundant number, since it is smaller than the sum of its proper divisors (56123280).

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

21059280 is a wasteful number, since it uses less digits than its factorization.

21059280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 21059280 is about 4589.0391151090. The cubic root of 21059280 is about 276.1517753750.

The spelling of 21059280 in words is "twenty-one million, fifty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 2659 3960 5318 7920 7977 10636 13295 15954 21272 23931 26590 29249 31908 39885 42544 47862 53180 58498 63816 79770 87747 95724 106360 116996 119655 127632 146245 159540 175494 191448 212720 233992 239310 263241 292490 319080 350988 382896 438735 467984 478620 526482 584980 638160 701976 877470 957240 1052964 1169960 1316205 1403952 1754940 1914480 2105928 2339920 2632410 3509880 4211856 5264820 7019760 10529640 21059280