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21441672 = 2334729163
BaseRepresentation
bin101000111001…
…0110010001000
31111100100110000
41101302302020
520442113142
62043323000
7350152110
oct121626210
944310400
1021441672
111111549a
127220460
1345996a5
142bc2040
151d3814c
hex1472c88

21441672 has 160 divisors (see below), whose sum is σ = 71438400. Its totient is φ = 5878656.

The previous prime is 21441661. The next prime is 21441689. The reversal of 21441672 is 27614412.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131463 + ... + 131625.

It is an arithmetic number, because the mean of its divisors is an integer number (446490).

Almost surely, 221441672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21441672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35719200).

21441672 is an abundant number, since it is smaller than the sum of its proper divisors (49996728).

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

21441672 is a wasteful number, since it uses less digits than its factorization.

21441672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 21441672 is about 4630.5153060972. The cubic root of 21441672 is about 277.8132037070.

The spelling of 21441672 in words is "twenty-one million, four hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 163 168 174 189 203 216 232 252 261 324 326 348 378 406 489 504 522 567 609 648 652 696 756 783 812 978 1044 1134 1141 1218 1304 1467 1512 1566 1624 1827 1956 2088 2268 2282 2349 2436 2934 3132 3423 3654 3912 4401 4536 4564 4698 4727 4872 5481 5868 6264 6846 7308 8802 9128 9396 9454 10269 10962 11736 13203 13692 14181 14616 16443 17604 18792 18908 20538 21924 26406 27384 28362 30807 32886 33089 35208 37816 41076 42543 43848 52812 56724 61614 65772 66178 82152 85086 92421 99267 105624 113448 123228 127629 131544 132356 170172 184842 198534 246456 255258 264712 297801 340344 369684 382887 397068 510516 595602 739368 765774 794136 893403 1021032 1191204 1531548 1786806 2382408 2680209 3063096 3573612 5360418 7147224 10720836 21441672