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42318120 = 23351327127
BaseRepresentation
bin1010000101101…
…1100100101000
32221121222112210
42201123210220
541313134440
64111005120
71022461305
oct241334450
987558483
1042318120
1121984259
12122097a0
1389c8a10
1458980ac
153aada80
hex285b928

42318120 has 64 divisors (see below), whose sum is σ = 136725120. Its totient is φ = 10416384.

The previous prime is 42318119. The next prime is 42318169. The reversal of 42318120 is 2181324.

It is an unprimeable number.

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, 12004 + ... + 15123.

It is an arithmetic number, because the mean of its divisors is an integer number (2136330).

Almost surely, 242318120 is an apocalyptic number.

42318120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42318120 is an abundant number, since it is smaller than the sum of its proper divisors (94407000).

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

42318120 is a wasteful number, since it uses less digits than its factorization.

42318120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27154 (or 27150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 42318120 is about 6505.2378895779. The cubic root of 42318120 is about 348.4780719646.

Adding to 42318120 its reverse (2181324), we get a palindrome (44499444).

The spelling of 42318120 in words is "forty-two million, three hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 27127 54254 81381 108508 135635 162762 217016 271270 325524 352651 406905 542540 651048 705302 813810 1057953 1085080 1410604 1627620 1763255 2115906 2821208 3255240 3526510 4231812 5289765 7053020 8463624 10579530 14106040 21159060 42318120