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1001530242 = 232192791951
BaseRepresentation
bin111011101100100…
…010001110000010
32120210120000012200
4323230202032002
54022342431432
6243214134030
733550603146
oct7354421602
92523500180
101001530242
11474379549
1223b4b1316
1312c65485b
1497029226
155cdd4a7c
hex3bb22382

1001530242 has 72 divisors (see below), whose sum is σ = 2320381440. Its totient is φ = 312109200.

The previous prime is 1001530219. The next prime is 1001530249. The reversal of 1001530242 is 2420351001.

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

It is not an unprimeable number, because it can be changed into a prime (1001530249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 512367 + ... + 514317.

It is an arithmetic number, because the mean of its divisors is an integer number (32227520).

Almost surely, 21001530242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001530242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160190720).

1001530242 is an abundant number, since it is smaller than the sum of its proper divisors (1318851198).

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

1001530242 is a wasteful number, since it uses less digits than its factorization.

1001530242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1001530242 is about 31646.9626030682. The cubic root of 1001530242 is about 1000.5098207053.

Adding to 1001530242 its reverse (2420351001), we get a palindrome (3421881243).

The spelling of 1001530242 in words is "one billion, one million, five hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 361 474 711 722 1083 1422 1501 1951 2166 3002 3249 3902 4503 5853 6498 9006 11706 13509 17559 27018 28519 35118 37069 57038 74138 85557 111207 154129 171114 222414 256671 308258 333621 462387 513342 667242 704311 924774 1387161 1408622 2112933 2774322 2928451 4225866 5856902 6338799 8785353 12677598 17570706 26356059 52712118 55640569 111281138 166921707 333843414 500765121 1001530242