Search a number
-
+
501315150 = 235272232141
BaseRepresentation
bin11101111000010…
…111011001001110
31021221022110002210
4131320113121032
52011314041100
6121424531250
715265052130
oct3570273116
91257273083
10501315150
11237a85546
1211ba80b26
137cb258ab
144a819050
152e027c50
hex1de1764e

501315150 has 96 divisors (see below), whose sum is σ = 1427908608. Its totient is φ = 114019200.

The previous prime is 501315149. The next prime is 501315151. The reversal of 501315150 is 51513105.

It is an interprime number because it is at equal distance from previous prime (501315149) and next prime (501315151).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501315151) 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 47 ways as a sum of consecutive naturals, for example, 233080 + ... + 235220.

It is an arithmetic number, because the mean of its divisors is an integer number (14874048).

Almost surely, 2501315150 is an apocalyptic number.

501315150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 501315150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713954304).

501315150 is an abundant number, since it is smaller than the sum of its proper divisors (926593458).

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

501315150 is a wasteful number, since it uses less digits than its factorization.

501315150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 21.

The square root of 501315150 is about 22390.0681106601. The cubic root of 501315150 is about 794.3958069053.

Adding to 501315150 its reverse (51513105), we get a palindrome (552828255).

The spelling of 501315150 in words is "five hundred one million, three hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 223 350 446 525 669 1050 1115 1338 1561 2141 2230 3122 3345 4282 4683 5575 6423 6690 7805 9366 10705 11150 12846 14987 15610 16725 21410 23415 29974 32115 33450 39025 44961 46830 53525 64230 74935 78050 89922 107050 117075 149870 160575 224805 234150 321150 374675 449610 477443 749350 954886 1124025 1432329 2248050 2387215 2864658 3342101 4774430 6684202 7161645 10026303 11936075 14323290 16710505 20052606 23872150 33421010 35808225 50131515 71616450 83552525 100263030 167105050 250657575 501315150