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5312000430 = 23251121925673
BaseRepresentation
bin1001111001001111…
…01011000110101110
3111201012110120200200
410330213223012232
541334333003210
62235034334330
7245431154502
oct47447530656
914635416620
105312000430
112286538600
121042b8a3a6
1366869b929
143856ba302
152115360c0
hex13c9eb1ae

5312000430 has 144 divisors (see below), whose sum is σ = 15980524560. Its totient is φ = 1219933440.

The previous prime is 5312000371. The next prime is 5312000453. The reversal of 5312000430 is 340002135.

5312000430 is a `hidden beast` number, since 5 + 31 + 200 + 0 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194074 + ... + 219746.

It is an arithmetic number, because the mean of its divisors is an integer number (110975865).

Almost surely, 25312000430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5312000430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990262280).

5312000430 is an abundant number, since it is smaller than the sum of its proper divisors (10668524130).

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

5312000430 is a wasteful number, since it uses less digits than its factorization.

5312000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25727 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5312000430 is about 72883.4715830688. The cubic root of 5312000430 is about 1744.8283156625.

Adding to 5312000430 its reverse (340002135), we get a palindrome (5652002565).

The spelling of 5312000430 in words is "five billion, three hundred twelve million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 121 165 171 190 198 209 242 285 330 342 363 418 495 570 605 627 726 855 990 1045 1089 1210 1254 1710 1815 1881 2090 2178 2299 3135 3630 3762 4598 5445 6270 6897 9405 10890 11495 13794 18810 20691 22990 25673 34485 41382 51346 68970 77019 103455 128365 154038 206910 231057 256730 282403 385095 462114 487787 564806 770190 847209 975574 1155285 1412015 1463361 1694418 2310570 2438935 2541627 2824030 2926722 3106433 4236045 4390083 4877870 5083254 5365657 6212866 7316805 8472090 8780166 9319299 10731314 12708135 14633610 15532165 16096971 18638598 21950415 25416270 26828285 27957897 31064330 32193942 43900830 46596495 48290913 53656570 55915794 59022227 80484855 93192990 96581826 118044454 139789485 160969710 177066681 241454565 279578970 295111135 354133362 482909130 531200043 590222270 885333405 1062400086 1770666810 2656000215 5312000430