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5060006140 = 2257179372269
BaseRepresentation
bin1001011011001100…
…11001000011111100
3111001122021221111211
410231212121003330
540330330144030
62154033254204
7236251225330
oct45546310374
914048257454
105060006140
112167272562
12b92704364
1362840b597
143600417c0
151e935b12a
hex12d9990fc

5060006140 has 96 divisors (see below), whose sum is σ = 12877764480. Its totient is φ = 1630347264.

The previous prime is 5060006129. The next prime is 5060006143. The reversal of 5060006140 is 416000605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5060006143) 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, 2228926 + ... + 2231194.

It is an arithmetic number, because the mean of its divisors is an integer number (134143380).

Almost surely, 25060006140 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 5060006140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438882240).

5060006140 is an abundant number, since it is smaller than the sum of its proper divisors (7817758340).

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

5060006140 is a wasteful number, since it uses less digits than its factorization.

5060006140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5060006140 is about 71133.7201332814. The cubic root of 5060006140 is about 1716.7893662049.

Adding to 5060006140 its reverse (416000605), we get a palindrome (5476006745).

The spelling of 5060006140 in words is "five billion, sixty million, six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 937 1190 1874 2269 2380 3748 4538 4685 6559 9076 9370 11345 13118 15883 15929 18740 22690 26236 31766 31858 32795 38573 45380 63532 63716 65590 77146 79415 79645 111503 131180 154292 158830 159290 192865 223006 270011 317660 318580 385730 446012 540022 557515 771460 1080044 1115030 1350055 2126053 2230060 2700110 4252106 5400220 8504212 10630265 14882371 21260530 29764742 36142901 42521060 59529484 72285802 74411855 144571604 148823710 180714505 253000307 297647420 361429010 506000614 722858020 1012001228 1265001535 2530003070 5060006140