Search a number
-
+
1350160350 = 2352711210627
BaseRepresentation
bin101000001111001…
…1100111111011110
310111002120020210220
41100132130333132
510231120112400
6341550342210
745313113360
oct12036347736
93432506726
101350160350
11633148500
123181ba966
1318694b366
14cb45ad30
157d7ec7a0
hex5079cfde

1350160350 has 144 divisors (see below), whose sum is σ = 4206647424. Its totient is φ = 280526400.

The previous prime is 1350160313. The next prime is 1350160367. The reversal of 1350160350 is 530610531.

1350160350 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1350160350.

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, 121737 + ... + 132363.

Almost surely, 21350160350 is an apocalyptic number.

1350160350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350160350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103323712).

1350160350 is an abundant number, since it is smaller than the sum of its proper divisors (2856487074).

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

1350160350 is a wasteful number, since it uses less digits than its factorization.

1350160350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10671 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1350160350 is about 36744.5281640682. The cubic root of 1350160350 is about 1105.2532059672.

Adding to 1350160350 its reverse (530610531), we get a palindrome (1880770881).

The spelling of 1350160350 in words is "one billion, three hundred fifty million, one hundred sixty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 121 150 154 165 175 210 231 242 275 330 350 363 385 462 525 550 605 726 770 825 847 1050 1155 1210 1650 1694 1815 1925 2310 2541 3025 3630 3850 4235 5082 5775 6050 8470 9075 10627 11550 12705 18150 21175 21254 25410 31881 42350 53135 63525 63762 74389 106270 116897 127050 148778 159405 223167 233794 265675 318810 350691 371945 446334 531350 584485 701382 743890 797025 818279 1115835 1168970 1285867 1594050 1636558 1753455 1859725 2231670 2454837 2571734 2922425 3506910 3719450 3857601 4091395 4909674 5579175 5844850 6429335 7715202 8182790 8767275 9001069 11158350 12274185 12858670 17534550 18002138 19288005 20456975 24548370 27003207 32146675 38576010 40913950 45005345 54006414 61370925 64293350 90010690 96440025 122741850 135016035 192880050 225026725 270032070 450053450 675080175 1350160350