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21484760 = 23511223193
BaseRepresentation
bin101000111110…
…1010011011000
31111102112112212
41101331103120
521000003020
62044254252
7350421533
oct121752330
944375485
1021484760
1111144900
127241388
1345b319b
142bd3a1a
151d45cc5
hex147d4d8

21484760 has 96 divisors (see below), whose sum is σ = 55732320. Its totient is φ = 7434240.

The previous prime is 21484759. The next prime is 21484807. The reversal of 21484760 is 6748412.

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 23 ways as a sum of consecutive naturals, for example, 111224 + ... + 111416.

It is an arithmetic number, because the mean of its divisors is an integer number (580545).

Almost surely, 221484760 is an apocalyptic number.

21484760 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 21484760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27866160).

21484760 is an abundant number, since it is smaller than the sum of its proper divisors (34247560).

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

21484760 is a wasteful number, since it uses less digits than its factorization.

21484760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 21484760 is about 4635.1655849603. The cubic root of 21484760 is about 277.9991718830. Note that the first 3 decimals are identical.

The spelling of 21484760 in words is "twenty-one million, four hundred eighty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 121 184 193 220 230 242 253 386 440 460 484 506 605 772 920 965 968 1012 1210 1265 1544 1930 2024 2123 2420 2530 2783 3860 4246 4439 4840 5060 5566 7720 8492 8878 10120 10615 11132 13915 16984 17756 21230 22195 22264 23353 27830 35512 42460 44390 46706 48829 55660 84920 88780 93412 97658 111320 116765 177560 186824 195316 233530 244145 390632 467060 488290 537119 934120 976580 1074238 1953160 2148476 2685595 4296952 5371190 10742380 21484760