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21351000 = 2335311647
BaseRepresentation
bin101000101110…
…0101001011000
31111011202001210
41101130221120
520431213000
62041343120
7346323546
oct121345130
944152053
1021351000
1111063360
127197aa0
134567338
142b9ad96
151d1b350
hex145ca58

21351000 has 128 divisors (see below), whose sum is σ = 72783360. Its totient is φ = 5168000.

The previous prime is 21350999. The next prime is 21351007. The reversal of 21351000 is 15312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21351007) 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 31 ways as a sum of consecutive naturals, for example, 32677 + ... + 33323.

It is an arithmetic number, because the mean of its divisors is an integer number (568620).

Almost surely, 221351000 is an apocalyptic number.

21351000 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 21351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36391680).

21351000 is an abundant number, since it is smaller than the sum of its proper divisors (51432360).

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

21351000 is a wasteful number, since it uses less digits than its factorization.

21351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 21351000 is about 4620.7142305059. The cubic root of 21351000 is about 277.4210472573.

Adding to 21351000 its reverse (15312), we get a palindrome (21366312).

The spelling of 21351000 in words is "twenty-one million, three hundred fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 647 660 750 825 1000 1100 1294 1320 1375 1500 1650 1941 2200 2588 2750 3000 3235 3300 3882 4125 5176 5500 6470 6600 7117 7764 8250 9705 11000 12940 14234 15528 16175 16500 19410 21351 25880 28468 32350 33000 35585 38820 42702 48525 56936 64700 71170 77640 80875 85404 97050 106755 129400 142340 161750 170808 177925 194100 213510 242625 284680 323500 355850 388200 427020 485250 533775 647000 711700 854040 889625 970500 1067550 1423400 1779250 1941000 2135100 2668875 3558500 4270200 5337750 7117000 10675500 21351000