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542319960 = 233571349663
BaseRepresentation
bin100000010100110…
…010010101011000
31101210110201010110
4200110302111120
52102313214320
6125451444320
716303433520
oct4024622530
91353421113
10542319960
11259142016
121317566a0
13884818b0
1452050680
15329275e0
hex20532558

542319960 has 128 divisors (see below), whose sum is σ = 2002452480. Its totient is φ = 114421248.

The previous prime is 542319959. The next prime is 542319961. The reversal of 542319960 is 69913245.

It is an interprime number because it is at equal distance from previous prime (542319959) and next prime (542319961).

It is a super-2 number, since 2×5423199602 = 588221878028803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542319961) 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 31 ways as a sum of consecutive naturals, for example, 13912 + ... + 35751.

It is an arithmetic number, because the mean of its divisors is an integer number (15644160).

Almost surely, 2542319960 is an apocalyptic number.

It is an amenable number.

542319960 is an abundant number, since it is smaller than the sum of its proper divisors (1460132520).

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

542319960 is a wasteful number, since it uses less digits than its factorization.

542319960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49697 (or 49693 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 542319960 is about 23287.7641691941. The cubic root of 542319960 is about 815.4897930339.

The spelling of 542319960 in words is "five hundred forty-two million, three hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 49663 99326 148989 198652 248315 297978 347641 397304 496630 595956 645619 695282 744945 993260 1042923 1191912 1291238 1390564 1489890 1738205 1936857 1986520 2085846 2582476 2781128 2979780 3228095 3476410 3873714 4171692 4519333 5164952 5214615 5959560 6456190 6952820 7747428 8343384 9038666 9684285 10429230 12912380 13557999 13905640 15494856 18077332 19368570 20858460 22596665 25824760 27115998 36154664 38737140 41716920 45193330 54231996 67789995 77474280 90386660 108463992 135579990 180773320 271159980 542319960