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21008460 = 223511139229
BaseRepresentation
bin101000000100…
…1000001001100
31110112100012010
41100021001030
520334232320
62030141220
7343366104
oct120110114
943470163
1021008460
1110949a70
127051810
134477455
142b0c204
151c9eae0
hex140904c

21008460 has 96 divisors (see below), whose sum is σ = 64915200. Its totient is φ = 5034240.

The previous prime is 21008459. The next prime is 21008497. The reversal of 21008460 is 6480012.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 91626 + ... + 91854.

It is an arithmetic number, because the mean of its divisors is an integer number (676200).

Almost surely, 221008460 is an apocalyptic number.

21008460 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 21008460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32457600).

21008460 is an abundant number, since it is smaller than the sum of its proper divisors (43906740).

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

21008460 is a wasteful number, since it uses less digits than its factorization.

21008460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21008460 is about 4583.4986636848. The cubic root of 21008460 is about 275.9294610745.

Adding to 21008460 its reverse (6480012), we get a palindrome (27488472).

The spelling of 21008460 in words is "twenty-one million, eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 139 165 220 229 278 330 417 458 556 660 687 695 834 916 1145 1374 1390 1529 1668 2085 2290 2519 2748 2780 3058 3435 4170 4580 4587 5038 6116 6870 7557 7645 8340 9174 10076 12595 13740 15114 15290 18348 22935 25190 30228 30580 31831 37785 45870 50380 63662 75570 91740 95493 127324 151140 159155 190986 318310 350141 381972 477465 636620 700282 954930 1050423 1400564 1750705 1909860 2100846 3501410 4201692 5252115 7002820 10504230 21008460