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542041260 = 223517599007
BaseRepresentation
bin100000010011101…
…110010010101100
31101202221112211020
4200103232102230
52102230310020
6125441454140
716301163135
oct4023562254
91352845736
10542041260
11258a71692
12131641350
13883b4a97
1451dbac8c
15328bec40
hex204ee4ac

542041260 has 96 divisors (see below), whose sum is σ = 1634411520. Its totient is φ = 133721088.

The previous prime is 542041259. The next prime is 542041261. The reversal of 542041260 is 62140245.

It is an interprime number because it is at equal distance from previous prime (542041259) and next prime (542041261).

It is a self number, because there is not a number n which added to its sum of digits gives 542041260.

It is not an unprimeable number, because it can be changed into a prime (542041261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55677 + ... + 64683.

It is an arithmetic number, because the mean of its divisors is an integer number (17025120).

Almost surely, 2542041260 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 542041260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817205760).

542041260 is an abundant number, since it is smaller than the sum of its proper divisors (1092370260).

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

542041260 is a wasteful number, since it uses less digits than its factorization.

542041260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9095 (or 9093 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 542041260 is about 23281.7795711582. The cubic root of 542041260 is about 815.3500748073.

The spelling of 542041260 in words is "five hundred forty-two million, forty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 59 60 68 85 102 118 170 177 204 236 255 295 340 354 510 590 708 885 1003 1020 1180 1770 2006 3009 3540 4012 5015 6018 9007 10030 12036 15045 18014 20060 27021 30090 36028 45035 54042 60180 90070 108084 135105 153119 180140 270210 306238 459357 531413 540420 612476 765595 918714 1062826 1531190 1594239 1837428 2125652 2296785 2657065 3062380 3188478 4593570 5314130 6376956 7971195 9034021 9187140 10628260 15942390 18068042 27102063 31884780 36136084 45170105 54204126 90340210 108408252 135510315 180680420 271020630 542041260