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1500131034 = 232173723581
BaseRepresentation
bin101100101101010…
…0010111011011010
310212112202112220200
41121122202323122
511033013143114
6404505003030
752113621603
oct13132427332
93775675820
101500131034
116aa86a716
1235a483476
131aba39acc
14103338daa
158ba73409
hex596a2eda

1500131034 has 72 divisors (see below), whose sum is σ = 3537991548. Its totient is φ = 457781760.

The previous prime is 1500131033. The next prime is 1500131057. The reversal of 1500131034 is 4301310051.

1500131034 is a `hidden beast` number, since 1 + 500 + 131 + 0 + 34 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1497457809 + 2673225 = 38697^2 + 1635^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1500130998 and 1500131016.

It is not an unprimeable number, because it can be changed into a prime (1500131033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 417124 + ... + 420704.

Almost surely, 21500131034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1500131034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768995774).

1500131034 is an abundant number, since it is smaller than the sum of its proper divisors (2037860514).

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

1500131034 is a wasteful number, since it uses less digits than its factorization.

1500131034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1500131034 is about 38731.5250667980. The cubic root of 1500131034 is about 1144.7475741352.

Adding to 1500131034 its reverse (4301310051), we get a palindrome (5801441085).

The spelling of 1500131034 in words is "one billion, five hundred million, one hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1369 1887 2738 3581 3774 4107 5661 7162 8214 10743 11322 12321 21486 23273 24642 32229 46546 60877 64458 69819 121754 132497 139638 182631 209457 264994 365262 397491 418914 547893 794982 1095786 1192473 2252449 2384946 4504898 4902389 6757347 9804778 13514694 14707167 20272041 29414334 40544082 44121501 83340613 88243002 166681226 250021839 500043678 750065517 1500131034