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5431310160 = 2435239471039
BaseRepresentation
bin1010000111011101…
…10011011101010000
3112000111222010212120
411003232303131100
542110403411120
62254535454240
7251410242333
oct50356633520
915014863776
105431310160
112337918791
121076b27380
136873135c3
1439749661a
1521bc52140
hex143bb3750

5431310160 has 160 divisors (see below), whose sum is σ = 17604587520. Its totient is φ = 1382582784.

The previous prime is 5431310147. The next prime is 5431310167. The reversal of 5431310160 is 610131345.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5431310160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431310167) 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, 5226921 + ... + 5227959.

It is an arithmetic number, because the mean of its divisors is an integer number (110028672).

Almost surely, 25431310160 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 5431310160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802293760).

5431310160 is an abundant number, since it is smaller than the sum of its proper divisors (12173277360).

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

5431310160 is a wasteful number, since it uses less digits than its factorization.

5431310160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5431310160 is about 73697.4230214327. The cubic root of 5431310160 is about 1757.7949054136.

The spelling of 5431310160 in words is "five billion, four hundred thirty-one million, three hundred ten thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 947 1039 1104 1380 1840 1894 2078 2760 2841 3117 3788 4156 4735 5195 5520 5682 6234 7576 8312 9470 10390 11364 12468 14205 15152 15585 16624 18940 20780 21781 22728 23897 24936 28410 31170 37880 41560 43562 45456 47794 49872 56820 62340 65343 71691 75760 83120 87124 95588 108905 113640 119485 124680 130686 143382 174248 191176 217810 227280 238970 249360 261372 286764 326715 348496 358455 382352 435620 477940 522744 573528 653430 716910 871240 955880 983933 1045488 1147056 1306860 1433820 1742480 1911760 1967866 2613720 2867640 2951799 3935732 4919665 5227440 5735280 5903598 7871464 9839330 11807196 14758995 15742928 19678660 22630459 23614392 29517990 39357320 45260918 47228784 59035980 67891377 78714640 90521836 113152295 118071960 135782754 181043672 226304590 236143920 271565508 339456885 362087344 452609180 543131016 678913770 905218360 1086262032 1357827540 1810436720 2715655080 5431310160