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21125720 = 235711193
BaseRepresentation
bin101000010010…
…1101001011000
31110202022001002
41100211221120
520402010340
62032444132
7344365010
oct120455130
943668032
1021125720
1110a1a080
1270a9648
1344b8935
142b3cc40
151cc4715
hex1425a58

21125720 has 128 divisors (see below), whose sum is σ = 62553600. Its totient is φ = 6238080.

The previous prime is 21125711. The next prime is 21125723. The reversal of 21125720 is 2752112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21125692 and 21125701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21125723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1111871 + ... + 1111889.

It is an arithmetic number, because the mean of its divisors is an integer number (488700).

Almost surely, 221125720 is an apocalyptic number.

21125720 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 21125720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31276800).

21125720 is an abundant number, since it is smaller than the sum of its proper divisors (41427880).

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

21125720 is a wasteful number, since it uses less digits than its factorization.

21125720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 21125720 is about 4596.2724027194. The cubic root of 21125720 is about 276.4418812541.

Adding to 21125720 its reverse (2752112), we get a palindrome (23877832).

It can be divided in two parts, 21125 and 720, that multiplied together give a square (15210000 = 39002).

The spelling of 21125720 in words is "twenty-one million, one hundred twenty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 361 380 385 418 440 532 616 665 722 760 770 836 1045 1064 1330 1444 1463 1540 1672 1805 2090 2527 2660 2888 2926 3080 3610 3971 4180 5054 5320 5852 6859 7220 7315 7942 8360 10108 11704 12635 13718 14440 14630 15884 19855 20216 25270 27436 27797 29260 31768 34295 39710 48013 50540 54872 55594 58520 68590 75449 79420 96026 101080 111188 137180 138985 150898 158840 192052 222376 240065 274360 277970 301796 377245 384104 480130 528143 555940 603592 754490 960260 1056286 1111880 1508980 1920520 2112572 2640715 3017960 4225144 5281430 10562860 21125720