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54022720 = 265401421
BaseRepresentation
bin1100111000010…
…1001001000000
310202122122020111
43032011021000
5102312211340
65205521104
71224120433
oct316051100
9122578214
1054022720
1128549084
1216113194
13b26640b
14726381a
154b21aea
hex3385240

54022720 has 56 divisors (see below), whose sum is σ = 129268728. Its totient is φ = 21504000.

The previous prime is 54022691. The next prime is 54022721. The reversal of 54022720 is 2722045.

It can be written as a sum of positive squares in 4 ways, for example, as 4910656 + 49112064 = 2216^2 + 7008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54022691 and 54022700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54022721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128110 + ... + 128530.

Almost surely, 254022720 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 54022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64634364).

54022720 is an abundant number, since it is smaller than the sum of its proper divisors (75246008).

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

54022720 is a wasteful number, since it uses less digits than its factorization.

54022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 54022720 is about 7350.0149659712. The cubic root of 54022720 is about 378.0293175473.

Adding to 54022720 its reverse (2722045), we get a palindrome (56744765).

The spelling of 54022720 in words is "fifty-four million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 401 421 802 842 1604 1684 2005 2105 3208 3368 4010 4210 6416 6736 8020 8420 12832 13472 16040 16840 25664 26944 32080 33680 64160 67360 128320 134720 168821 337642 675284 844105 1350568 1688210 2701136 3376420 5402272 6752840 10804544 13505680 27011360 54022720