Search a number
-
+
1500130020 = 2235475310037
BaseRepresentation
bin101100101101010…
…0010101011100100
310212112202111112010
41121122202223210
511033013130040
6404504554220
752113615624
oct13132425344
93775674463
101500130020
116aa869984
1235a482970
131aba394cc
14103338884
158ba72e80
hex596a2ae4

1500130020 has 96 divisors (see below), whose sum is σ = 4371107328. Its totient is φ = 384097792.

The previous prime is 1500130013. The next prime is 1500130033. The reversal of 1500130020 is 200310051.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1500129978 and 1500130005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144442 + ... + 154478.

It is an arithmetic number, because the mean of its divisors is an integer number (45532368).

Almost surely, 21500130020 is an apocalyptic number.

1500130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1500130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185553664).

1500130020 is an abundant number, since it is smaller than the sum of its proper divisors (2870977308).

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

1500130020 is a wasteful number, since it uses less digits than its factorization.

1500130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10149 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1500130020 is about 38731.5119766838. The cubic root of 1500130020 is about 1144.7473162079.

Adding to 1500130020 its reverse (200310051), we get a palindrome (1700440071).

The spelling of 1500130020 in words is "one billion, five hundred million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 53 60 94 106 141 159 188 212 235 265 282 318 470 530 564 636 705 795 940 1060 1410 1590 2491 2820 3180 4982 7473 9964 10037 12455 14946 20074 24910 29892 30111 37365 40148 49820 50185 60222 74730 100370 120444 149460 150555 200740 301110 471739 531961 602220 943478 1063922 1415217 1595883 1886956 2127844 2358695 2659805 2830434 3191766 4717390 5319610 5660868 6383532 7076085 7979415 9434780 10639220 14152170 15958830 25002167 28304340 31917660 50004334 75006501 100008668 125010835 150013002 250021670 300026004 375032505 500043340 750065010 1500130020