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21270480 = 24357111151
BaseRepresentation
bin101000100100…
…0111111010000
31111000122121120
41101020333100
520421123410
62035522240
7345540030
oct121107720
944018546
1021270480
1111008910
127159380
1345397aa
142b798c0
151d02570
hex1448fd0

21270480 has 160 divisors (see below), whose sum is σ = 82280448. Its totient is φ = 4416000.

The previous prime is 21270439. The next prime is 21270511. The reversal of 21270480 is 8407212.

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 21270480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17905 + ... + 19055.

Almost surely, 221270480 is an apocalyptic number.

21270480 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 21270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140224).

21270480 is an abundant number, since it is smaller than the sum of its proper divisors (61009968).

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

21270480 is a wasteful number, since it uses less digits than its factorization.

21270480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 21270480 is about 4611.9930615733. The cubic root of 21270480 is about 277.0718663856.

Adding to 21270480 its reverse (8407212), we get a palindrome (29677692).

The spelling of 21270480 in words is "twenty-one million, two hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1151 1155 1232 1320 1540 1680 1848 2302 2310 2640 3080 3453 3696 4604 4620 5755 6160 6906 8057 9208 9240 11510 12661 13812 16114 17265 18416 18480 23020 24171 25322 27624 32228 34530 37983 40285 46040 48342 50644 55248 63305 64456 69060 75966 80570 88627 92080 96684 101288 120855 126610 128912 138120 151932 161140 177254 189915 193368 202576 241710 253220 265881 276240 303864 322280 354508 379830 386736 443135 483420 506440 531762 607728 644560 709016 759660 886270 966840 1012880 1063524 1329405 1418032 1519320 1772540 1933680 2127048 2658810 3038640 3545080 4254096 5317620 7090160 10635240 21270480