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9540426140 = 2257672234561
BaseRepresentation
bin10001110001010011…
…10101100110011100
3220121212222212022022
420320221311212130
5124014322114030
64214404235312
7455264166320
oct107051654634
926555885268
109540426140
11405635a403
121a2309bb38
13b9071ab8b
146670d1980
153ac87cde5
hex238a7599c

9540426140 has 96 divisors (see below), whose sum is σ = 23348097024. Its totient is φ = 3207029760.

The previous prime is 9540426121. The next prime is 9540426149. The reversal of 9540426140 is 416240459.

9540426140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 9540426140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9540426149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2089460 + ... + 2094020.

It is an arithmetic number, because the mean of its divisors is an integer number (243209344).

Almost surely, 29540426140 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 9540426140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674048512).

9540426140 is an abundant number, since it is smaller than the sum of its proper divisors (13807670884).

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

9540426140 is a wasteful number, since it uses less digits than its factorization.

9540426140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 9540426140 is about 97675.1050165804. The cubic root of 9540426140 is about 2120.9117162574.

Adding to 9540426140 its reverse (416240459), we get a palindrome (9956666599).

The spelling of 9540426140 in words is "nine billion, five hundred forty million, four hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 223 268 335 446 469 670 892 938 1115 1340 1561 1876 2230 2345 3122 4460 4561 4690 6244 7805 9122 9380 14941 15610 18244 22805 29882 31220 31927 45610 59764 63854 74705 91220 104587 127708 149410 159635 209174 298820 305587 319270 418348 522935 611174 638540 1017103 1045870 1222348 1527935 2034206 2091740 2139109 3055870 4068412 4278218 5085515 6111740 7119721 8556436 10171030 10695545 14239442 20342060 21391090 28478884 35598605 42782180 68145901 71197210 136291802 142394420 272583604 340729505 477021307 681459010 954042614 1362918020 1908085228 2385106535 4770213070 9540426140