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5303541540 = 22351146717207
BaseRepresentation
bin1001111000001110…
…11001111100100100
3111200121112211021110
410330013121330210
541330201312130
62234133145020
7245266234143
oct47407317444
914617484243
105303541540
112281790290
12104018b170
136669c967b
1438451775a
15210914ab0
hex13c1d9f24

5303541540 has 96 divisors (see below), whose sum is σ = 16235541504. Its totient is φ = 1282879360.

The previous prime is 5303541521. The next prime is 5303541559. The reversal of 5303541540 is 451453035.

It is an interprime number because it is at equal distance from previous prime (5303541521) and next prime (5303541559).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5303541498 and 5303541507.

It is an unprimeable number.

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, 299617 + ... + 316823.

It is an arithmetic number, because the mean of its divisors is an integer number (169120224).

Almost surely, 25303541540 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 5303541540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8117770752).

5303541540 is an abundant number, since it is smaller than the sum of its proper divisors (10931999964).

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

5303541540 is a wasteful number, since it uses less digits than its factorization.

5303541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17697 (or 17695 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 5303541540 is about 72825.4182274294. The cubic root of 5303541540 is about 1743.9016621213.

Adding to 5303541540 its reverse (451453035), we get a palindrome (5754994575).

The spelling of 5303541540 in words is "five billion, three hundred three million, five hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 467 660 934 1401 1868 2335 2802 4670 5137 5604 7005 9340 10274 14010 15411 17207 20548 25685 28020 30822 34414 51370 51621 61644 68828 77055 86035 102740 103242 154110 172070 189277 206484 258105 308220 344140 378554 516210 567831 757108 946385 1032420 1135662 1892770 2271324 2839155 3785540 5678310 8035669 11356620 16071338 24107007 32142676 40178345 48214014 80356690 88392359 96428028 120535035 160713380 176784718 241070070 265177077 353569436 441961795 482140140 530354154 883923590 1060708308 1325885385 1767847180 2651770770 5303541540