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21045300 = 22352294159
BaseRepresentation
bin101000001001…
…0000000110100
31110121012201120
41100102000310
520341422200
62031023540
7343611363
oct120220064
943535646
1021045300
1110974711
12706abb0
13448b153
142b1b7da
151caa9a0
hex1412034

21045300 has 144 divisors (see below), whose sum is σ = 65620800. Its totient is φ = 5196800.

The previous prime is 21045287. The next prime is 21045301. The reversal of 21045300 is 354012.

21045300 = T136 + T137 + ... + T504.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21045300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21045301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 356671 + ... + 356729.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 221045300 is an apocalyptic number.

21045300 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 21045300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

21045300 is an abundant number, since it is smaller than the sum of its proper divisors (44575500).

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

21045300 is a wasteful number, since it uses less digits than its factorization.

21045300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 21045300 is about 4587.5156675482. The cubic root of 21045300 is about 276.0906549503.

Adding to 21045300 its reverse (354012), we get a palindrome (21399312).

The spelling of 21045300 in words is "twenty-one million, forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 41 50 58 59 60 75 82 87 100 116 118 123 145 150 164 174 177 205 236 246 290 295 300 348 354 410 435 492 580 590 615 708 725 820 870 885 1025 1180 1189 1230 1450 1475 1711 1740 1770 2050 2175 2378 2419 2460 2900 2950 3075 3422 3540 3567 4100 4350 4425 4756 4838 5133 5900 5945 6150 6844 7134 7257 8555 8700 8850 9676 10266 11890 12095 12300 14268 14514 17110 17700 17835 20532 23780 24190 25665 29028 29725 34220 35670 36285 42775 48380 51330 59450 60475 70151 71340 72570 85550 89175 102660 118900 120950 128325 140302 145140 171100 178350 181425 210453 241900 256650 280604 350755 356700 362850 420906 513300 701510 725700 841812 1052265 1403020 1753775 2104530 3507550 4209060 5261325 7015100 10522650 21045300