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21486816 = 2533131913
BaseRepresentation
bin101000111110…
…1110011100000
31111102122101000
41101331303200
521000034231
62044312000
7350430531
oct121756340
944378330
1021486816
11111463aa
127242600
1345b40c0
142bd4688
151d466e6
hex147dce0

21486816 has 96 divisors (see below), whose sum is σ = 67525920. Its totient is φ = 6607872.

The previous prime is 21486811. The next prime is 21486821. The reversal of 21486816 is 61868412.

It is an interprime number because it is at equal distance from previous prime (21486811) and next prime (21486821).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21486811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10276 + ... + 12188.

It is an arithmetic number, because the mean of its divisors is an integer number (703395).

Almost surely, 221486816 is an apocalyptic number.

21486816 is a gapful number since it is divisible by the number (26) 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 21486816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33762960).

21486816 is an abundant number, since it is smaller than the sum of its proper divisors (46039104).

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

21486816 is a wasteful number, since it uses less digits than its factorization.

21486816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1931 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 21486816 is about 4635.3873624542. The cubic root of 21486816 is about 278.0080393790.

The spelling of 21486816 in words is "twenty-one million, four hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 1913 2808 3744 3826 5616 5739 7652 11232 11478 15304 17217 22956 24869 30608 34434 45912 49738 51651 61216 68868 74607 91824 99476 103302 137736 149214 183648 198952 206604 223821 275472 298428 397904 413208 447642 550944 596856 671463 795808 826416 895284 1193712 1342926 1652832 1790568 2387424 2685852 3581136 5371704 7162272 10743408 21486816