Search a number
-
+
5703331230 = 2335434631061
BaseRepresentation
bin1010100111111000…
…11110110110011110
3112201110211020122000
411103330132312132
543140023044410
62341534103130
7261222341562
oct52374366636
915643736560
105703331230
112467422193
12113204aaa6
136cb79630c
143c16656a2
15235a85dc0
hex153f1ed9e

5703331230 has 128 divisors (see below), whose sum is σ = 15610890240. Its totient is φ = 1480913280.

The previous prime is 5703331223. The next prime is 5703331261. The reversal of 5703331230 is 321333075.

5703331230 is a `hidden beast` number, since 570 + 33 + 31 + 2 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5703331194 and 5703331203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5374900 + ... + 5375960.

It is an arithmetic number, because the mean of its divisors is an integer number (121960080).

Almost surely, 25703331230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5703331230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805445120).

5703331230 is an abundant number, since it is smaller than the sum of its proper divisors (9907559010).

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

5703331230 is a wasteful number, since it uses less digits than its factorization.

5703331230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 5703331230 is about 75520.4027399219. The cubic root of 5703331230 is about 1786.6639099624.

The spelling of 5703331230 in words is "five billion, seven hundred three million, three hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 463 645 774 926 1061 1161 1290 1389 1935 2122 2315 2322 2778 3183 3870 4167 4630 5305 5805 6366 6945 8334 9549 10610 11610 12501 13890 15915 19098 19909 20835 25002 28647 31830 39818 41670 45623 47745 57294 59727 62505 91246 95490 99545 119454 125010 136869 143235 179181 199090 228115 273738 286470 298635 358362 410607 456230 491243 537543 597270 684345 821214 895905 982486 1075086 1231821 1368690 1473729 1791810 2053035 2456215 2463642 2687715 2947458 4106070 4421187 4912430 5375430 6159105 7368645 8842374 12318210 13263561 14737290 21123449 22105935 26527122 42246898 44211870 63370347 66317805 105617245 126740694 132635610 190111041 211234490 316851735 380222082 570333123 633703470 950555205 1140666246 1901110410 2851665615 5703331230