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542522120 = 23572377481
BaseRepresentation
bin100000010101100…
…011101100001000
31101210211222102212
4200111203230020
52102341201440
6125500044252
716305235100
oct4025435410
91353758385
10542522120
1125926a998
12131833688
138852290a
14520a4200
1532967465
hex20563b08

542522120 has 96 divisors (see below), whose sum is σ = 1458541080. Its totient is φ = 180956160.

The previous prime is 542522119. The next prime is 542522129. The reversal of 542522120 is 21225245.

It can be written as a sum of positive squares in 4 ways, for example, as 542051524 + 470596 = 23282^2 + 686^2 .

It is not an unprimeable number, because it can be changed into a prime (542522129) 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 23 ways as a sum of consecutive naturals, for example, 68780 + ... + 76260.

Almost surely, 2542522120 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 542522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729270540).

542522120 is an abundant number, since it is smaller than the sum of its proper divisors (916018960).

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

542522120 is a wasteful number, since it uses less digits than its factorization.

542522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7532 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 542522120 is about 23292.1042415665. The cubic root of 542522120 is about 815.5911101825.

Adding to 542522120 its reverse (21225245), we get a palindrome (563747365).

The spelling of 542522120 in words is "five hundred forty-two million, five hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 74 98 140 148 185 196 245 259 280 296 370 392 490 518 740 980 1036 1295 1480 1813 1960 2072 2590 3626 5180 7252 7481 9065 10360 14504 14962 18130 29924 36260 37405 52367 59848 72520 74810 104734 149620 209468 261835 276797 299240 366569 418936 523670 553594 733138 1047340 1107188 1383985 1466276 1832845 1937579 2094680 2214376 2767970 2932552 3665690 3875158 5535940 7331380 7750316 9687895 11071880 13563053 14662760 15500632 19375790 27126106 38751580 54252212 67815265 77503160 108504424 135630530 271261060 542522120