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21009280 = 275171931
BaseRepresentation
bin101000000100…
…1001110000000
31110112101022111
41100021032000
520334244110
62030145104
7343401355
oct120111600
943471274
1021009280
111094a646
127052194
134477936
142b0c62c
151c9ee8a
hex1409380

21009280 has 64 divisors (see below), whose sum is σ = 53207280. Its totient is φ = 7905280.

The previous prime is 21009277. The next prime is 21009283. The reversal of 21009280 is 8290012.

It is an interprime number because it is at equal distance from previous prime (21009277) and next prime (21009283).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×210092802 = 882779692236800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21009283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9915 + ... + 11845.

Almost surely, 221009280 is an apocalyptic number.

21009280 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 21009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26603640).

21009280 is an abundant number, since it is smaller than the sum of its proper divisors (32198000).

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

21009280 is a wasteful number, since it uses less digits than its factorization.

21009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 21009280 is about 4583.5881141307. The cubic root of 21009280 is about 275.9330510444.

Adding to 21009280 its reverse (8290012), we get a palindrome (29299292).

The spelling of 21009280 in words is "twenty-one million, nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 1931 2176 2720 3862 5440 7724 9655 10880 15448 19310 30896 32827 38620 61792 65654 77240 123584 131308 154480 164135 247168 262616 308960 328270 525232 617920 656540 1050464 1235840 1313080 2100928 2626160 4201856 5252320 10504640 21009280