Search a number
-
+
510103230 = 235721326693
BaseRepresentation
bin11110011001111…
…000111010111110
31022112211221002020
4132121320322332
52021041300410
6122341141010
715432543300
oct3631707276
91275757066
10510103230
11241a3811a
121229ba766
13818b1940
144ba65970
152ebb1a70
hex1e678ebe

510103230 has 96 divisors (see below), whose sum is σ = 1533730464. Its totient is φ = 107622144.

The previous prime is 510103213. The next prime is 510103259. The reversal of 510103230 is 32301015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 5764 + ... + 32456.

It is an arithmetic number, because the mean of its divisors is an integer number (15976359).

Almost surely, 2510103230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510103230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766865232).

510103230 is an abundant number, since it is smaller than the sum of its proper divisors (1023627234).

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

510103230 is a wasteful number, since it uses less digits than its factorization.

510103230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26730 (or 26723 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 510103230 is about 22585.4650162444. The cubic root of 510103230 is about 799.0108765057.

Adding to 510103230 its reverse (32301015), we get a palindrome (542404245).

It can be divided in two parts, 510 and 103230, that added together give a triangular number (103740 = T455).

The spelling of 510103230 in words is "five hundred ten million, one hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2730 3185 3822 6370 9555 19110 26693 53386 80079 133465 160158 186851 266930 347009 373702 400395 560553 694018 800790 934255 1041027 1121106 1307957 1735045 1868510 2082054 2429063 2615914 2802765 3470090 3923871 4858126 5205135 5605530 6539785 7287189 7847742 10410270 12145315 13079570 14574378 17003441 19619355 24290630 34006882 36435945 39238710 51010323 72871890 85017205 102020646 170034410 255051615 510103230