Search a number
-
+
63130350 = 235217191303
BaseRepresentation
bin1111000011010…
…0101011101110
311101210100120010
43300310223232
5112130132400
610133034050
71364412333
oct360645356
9141710503
1063130350
11326a9848
1219185926
1310104a4a
14855498a
155820450
hex3c34aee

63130350 has 96 divisors (see below), whose sum is σ = 174631680. Its totient is φ = 14999040.

The previous prime is 63130349. The next prime is 63130351. The reversal of 63130350 is 5303136.

It is an interprime number because it is at equal distance from previous prime (63130349) and next prime (63130351).

It is a super-2 number, since 2×631303502 = 7970882182245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63130351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47799 + ... + 49101.

It is an arithmetic number, because the mean of its divisors is an integer number (1819080).

Almost surely, 263130350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63130350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87315840).

63130350 is an abundant number, since it is smaller than the sum of its proper divisors (111501330).

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

63130350 is a wasteful number, since it uses less digits than its factorization.

63130350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 63130350 is about 7945.4609683769. The cubic root of 63130350 is about 398.1799603663.

Adding to 63130350 its reverse (5303136), we get a palindrome (68433486).

The spelling of 63130350 in words is "sixty-three million, one hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 19 25 30 34 38 50 51 57 75 85 95 102 114 150 170 190 255 285 323 425 475 510 570 646 850 950 969 1275 1303 1425 1615 1938 2550 2606 2850 3230 3909 4845 6515 7818 8075 9690 13030 16150 19545 22151 24225 24757 32575 39090 44302 48450 49514 65150 66453 74271 97725 110755 123785 132906 148542 195450 221510 247570 332265 371355 420869 553775 618925 664530 742710 841738 1107550 1237850 1262607 1661325 1856775 2104345 2525214 3322650 3713550 4208690 6313035 10521725 12626070 21043450 31565175 63130350