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21210480 = 2432589331
BaseRepresentation
bin101000011101…
…0010101110000
31110220121022100
41100322111300
520412213410
62034340400
7345200064
oct120722560
943817270
1021210480
1110a77825
12712a700
1345183a5
142b61aa4
151cde8c0
hex143a570

21210480 has 120 divisors (see below), whose sum is σ = 72249840. Its totient is φ = 5575680.

The previous prime is 21210463. The next prime is 21210487. The reversal of 21210480 is 8401212.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 63915 + ... + 64245.

It is an arithmetic number, because the mean of its divisors is an integer number (602082).

Almost surely, 221210480 is an apocalyptic number.

21210480 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 21210480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36124920).

21210480 is an abundant number, since it is smaller than the sum of its proper divisors (51039360).

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

21210480 is a wasteful number, since it uses less digits than its factorization.

21210480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 21210480 is about 4605.4836879529. The cubic root of 21210480 is about 276.8110986005.

Adding to 21210480 its reverse (8401212), we get a palindrome (29611692).

The spelling of 21210480 in words is "twenty-one million, two hundred ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 331 356 360 445 534 662 712 720 801 890 993 1068 1324 1335 1424 1602 1655 1780 1986 2136 2648 2670 2979 3204 3310 3560 3972 4005 4272 4965 5296 5340 5958 6408 6620 7120 7944 8010 9930 10680 11916 12816 13240 14895 15888 16020 19860 21360 23832 26480 29459 29790 32040 39720 47664 58918 59580 64080 79440 88377 117836 119160 147295 176754 235672 238320 265131 294590 353508 441885 471344 530262 589180 707016 883770 1060524 1178360 1325655 1414032 1767540 2121048 2356720 2651310 3535080 4242096 5302620 7070160 10605240 21210480