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21109248 = 2934509
BaseRepresentation
bin101000010000…
…1101000000000
31110201110110000
41100201220000
520400443443
62032240000
7344265666
oct120415000
943643400
1021109248
1110a08766
1270a0000
1344b12a4
142b36c36
151cbe8d3
hex1421a00

21109248 has 100 divisors (see below), whose sum is σ = 63129330. Its totient is φ = 7022592.

The previous prime is 21109243. The next prime is 21109261. The reversal of 21109248 is 84290112.

It can be written as a sum of positive squares in only one way, i.e., 15116544 + 5992704 = 3888^2 + 2448^2 .

It is a super-2 number, since 2×211092482 = 891200702251008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21109241) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41218 + ... + 41726.

Almost surely, 221109248 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 21109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31564665).

21109248 is an abundant number, since it is smaller than the sum of its proper divisors (42020082).

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

21109248 is an frugal number, since it uses more digits than its factorization.

21109248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21109248 is about 4594.4801664606. The cubic root of 21109248 is about 276.3700141229.

The spelling of 21109248 in words is "twenty-one million, one hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 509 512 576 648 768 864 1018 1152 1296 1527 1536 1728 2036 2304 2592 3054 3456 4072 4581 4608 5184 6108 6912 8144 9162 10368 12216 13743 13824 16288 18324 20736 24432 27486 32576 36648 41229 41472 48864 54972 65152 73296 82458 97728 109944 130304 146592 164916 195456 219888 260608 293184 329832 390912 439776 586368 659664 781824 879552 1172736 1319328 1759104 2345472 2638656 3518208 5277312 7036416 10554624 21109248