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21281280 = 293517163
BaseRepresentation
bin101000100101…
…1101000000000
31111001012102120
41101023220000
520422000110
62040044240
7345613356
oct121135000
944035376
1021281280
1111015a39
127163680
134541697
142b7d7d6
151d05870
hex144ba00

21281280 has 160 divisors (see below), whose sum is σ = 72477504. Its totient is φ = 5308416.

The previous prime is 21281261. The next prime is 21281321. The reversal of 21281280 is 8218212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21281280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130479 + ... + 130641.

Almost surely, 221281280 is an apocalyptic number.

21281280 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 21281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36238752).

21281280 is an abundant number, since it is smaller than the sum of its proper divisors (51196224).

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

21281280 is a wasteful number, since it uses less digits than its factorization.

21281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 21281280 is about 4613.1637733772. The cubic root of 21281280 is about 277.1187524901.

Adding to 21281280 its reverse (8218212), we get a palindrome (29499492).

The spelling of 21281280 in words is "twenty-one million, two hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 163 170 192 204 240 255 256 272 320 326 340 384 408 480 489 510 512 544 640 652 680 768 815 816 960 978 1020 1088 1280 1304 1360 1536 1630 1632 1920 1956 2040 2176 2445 2560 2608 2720 2771 3260 3264 3840 3912 4080 4352 4890 5216 5440 5542 6520 6528 7680 7824 8160 8313 8704 9780 10432 10880 11084 13040 13056 13855 15648 16320 16626 19560 20864 21760 22168 26080 26112 27710 31296 32640 33252 39120 41565 41728 43520 44336 52160 55420 62592 65280 66504 78240 83130 83456 88672 104320 110840 125184 130560 133008 156480 166260 177344 208640 221680 250368 266016 312960 332520 354688 417280 443360 532032 625920 665040 709376 886720 1064064 1251840 1330080 1418752 1773440 2128128 2660160 3546880 4256256 5320320 7093760 10640640 21281280