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54020720 = 24513127409
BaseRepresentation
bin1100111000010…
…0101001110000
310202122112111102
43032010221300
5102312130340
65205503532
71224111545
oct316045160
9122575442
1054020720
1128547626
1216111ba8
13b265530
147262bcc
154b21215
hex3384a70

54020720 has 80 divisors (see below), whose sum is σ = 136657920. Its totient is φ = 19740672.

The previous prime is 54020711. The next prime is 54020723. The reversal of 54020720 is 2702045.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 54020692 and 54020701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54020723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131876 + ... + 132284.

It is an arithmetic number, because the mean of its divisors is an integer number (1708224).

Almost surely, 254020720 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 54020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68328960).

54020720 is an abundant number, since it is smaller than the sum of its proper divisors (82637200).

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

54020720 is a wasteful number, since it uses less digits than its factorization.

54020720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 54020720 is about 7349.8789105672. The cubic root of 54020720 is about 378.0246524239.

Adding to 54020720 its reverse (2702045), we get a palindrome (56722765).

The spelling of 54020720 in words is "fifty-four million, twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 127 130 208 254 260 409 508 520 635 818 1016 1040 1270 1636 1651 2032 2045 2540 3272 3302 4090 5080 5317 6544 6604 8180 8255 10160 10634 13208 16360 16510 21268 26416 26585 32720 33020 42536 51943 53170 66040 85072 103886 106340 132080 207772 212680 259715 415544 425360 519430 675259 831088 1038860 1350518 2077720 2701036 3376295 4155440 5402072 6752590 10804144 13505180 27010360 54020720