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54142020 = 22345191759
BaseRepresentation
bin1100111010001…
…0010001000100
310202212200220000
43032202101010
5102330021040
65212241300
71225125312
oct316422104
9122780800
1054142020
112861a779
1216170230
13b2a87ca
1472950b2
154b47130
hex33a2444

54142020 has 120 divisors (see below), whose sum is σ = 178886400. Its totient is φ = 13670208.

The previous prime is 54142019. The next prime is 54142051. The reversal of 54142020 is 2024145.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 54141984 and 54142002.

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, 29901 + ... + 31659.

It is an arithmetic number, because the mean of its divisors is an integer number (1490720).

Almost surely, 254142020 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 54142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89443200).

54142020 is an abundant number, since it is smaller than the sum of its proper divisors (124744380).

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

54142020 is a wasteful number, since it uses less digits than its factorization.

54142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54142020 is about 7358.1261201477. The cubic root of 54142020 is about 378.3073841367.

Adding to 54142020 its reverse (2024145), we get a palindrome (56166165).

The spelling of 54142020 in words is "fifty-four million, one hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 1759 2052 2565 3078 3420 3518 5130 5277 6156 7036 7695 8795 10260 10554 15390 15831 17590 21108 26385 30780 31662 33421 35180 47493 52770 63324 66842 79155 94986 100263 105540 133684 142479 158310 167105 189972 200526 237465 284958 300789 316620 334210 401052 474930 501315 569916 601578 668420 712395 902367 949860 1002630 1203156 1424790 1503945 1804734 2005260 2707101 2849580 3007890 3609468 4511835 5414202 6015780 9023670 10828404 13535505 18047340 27071010 54142020