Search a number
-
+
5260134222 = 233726729671
BaseRepresentation
bin1001110011000011…
…10100011101001110
3111120120212111122000
410321201310131032
541233043243342
62225542533130
7244231255200
oct47141643516
914516774560
105260134222
11225a232772
1210297371a6
1365aa0bc75
1437c858770
1520bbdd44c
hex13987474e

5260134222 has 96 divisors (see below), whose sum is σ = 13801040640. Its totient is φ = 1480414320.

The previous prime is 5260134221. The next prime is 5260134241. The reversal of 5260134222 is 2224310625.

It is a happy number.

5260134222 is a `hidden beast` number, since 5 + 2 + 601 + 34 + 2 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5260134221) 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 47 ways as a sum of consecutive naturals, for example, 162447 + ... + 192117.

It is an arithmetic number, because the mean of its divisors is an integer number (143760840).

Almost surely, 25260134222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5260134222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900520320).

5260134222 is an abundant number, since it is smaller than the sum of its proper divisors (8540906418).

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

5260134222 is a wasteful number, since it uses less digits than its factorization.

5260134222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29763 (or 29750 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5260134222 is about 72526.7827909111. The cubic root of 5260134222 is about 1739.1309155712.

Adding to 5260134222 its reverse (2224310625), we get a palindrome (7484444847).

The spelling of 5260134222 in words is "five billion, two hundred sixty million, one hundred thirty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 67 98 126 134 147 189 201 294 378 402 441 469 603 882 938 1206 1323 1407 1809 2646 2814 3283 3618 4221 6566 8442 9849 12663 19698 25326 29547 29671 59094 59342 88641 89013 177282 178026 207697 267039 415394 534078 623091 801117 1246182 1453879 1602234 1869273 1987957 2907758 3738546 3975914 4361637 5607819 5963871 8723274 11215638 11927742 13084911 13915699 17891613 26169822 27831398 35783226 39254733 41747097 53674839 78509466 83494194 97409893 107349678 125241291 194819786 250482582 292229679 375723873 584459358 751447746 876689037 1753378074 2630067111 5260134222