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21044100 = 22352711911
BaseRepresentation
bin101000001000…
…1101110000100
31110121011002010
41100101232010
520341402400
62031014220
7343605030
oct120215604
943534063
1021044100
1110973820
12706a370
13448a73c
142b1b1c0
151caa450
hex1411b84

21044100 has 144 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 4368000.

The previous prime is 21044081. The next prime is 21044117. The reversal of 21044100 is 144012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22645 + ... + 23555.

It is an arithmetic number, because the mean of its divisors is an integer number (527744).

Almost surely, 221044100 is an apocalyptic number.

21044100 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 21044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

21044100 is an abundant number, since it is smaller than the sum of its proper divisors (54951036).

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

21044100 is a wasteful number, since it uses less digits than its factorization.

21044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 21044100 is about 4587.3848759397. The cubic root of 21044100 is about 276.0854073007.

Adding to 21044100 its reverse (144012), we get a palindrome (21188112).

It can be divided in two parts, 210 and 44100, that multiplied together give a cube (9261000 = 2103).

The spelling of 21044100 in words is "twenty-one million, forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 911 924 1050 1100 1155 1540 1650 1822 1925 2100 2310 2733 3300 3644 3850 4555 4620 5466 5775 6377 7700 9110 10021 10932 11550 12754 13665 18220 19131 20042 22775 23100 25508 27330 30063 31885 38262 40084 45550 50105 54660 60126 63770 68325 70147 76524 91100 95655 100210 120252 127540 136650 140294 150315 159425 191310 200420 210441 250525 273300 280588 300630 318850 350735 382620 420882 478275 501050 601260 637700 701470 751575 841764 956550 1002100 1052205 1402940 1503150 1753675 1913100 2104410 3006300 3507350 4208820 5261025 7014700 10522050 21044100