Search a number
-
+
9040351530 = 235734332029
BaseRepresentation
bin10000110101101100…
…01101000100101010
3212100001000102220110
420122312031010222
5122003312222110
64053022035150
7440012502000
oct103266150452
925301012813
109040351530
11391a051a01
121903718ab6
13b10c3ab42
1461a91aa70
1537d9eca20
hex21ad8d12a

9040351530 has 128 divisors (see below), whose sum is σ = 25373376000. Its totient is φ = 2060577792.

The previous prime is 9040351517. The next prime is 9040351547. The reversal of 9040351530 is 351530409.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4454556 + ... + 4456584.

It is an arithmetic number, because the mean of its divisors is an integer number (198229500).

Almost surely, 29040351530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9040351530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12686688000).

9040351530 is an abundant number, since it is smaller than the sum of its proper divisors (16333024470).

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

9040351530 is a wasteful number, since it uses less digits than its factorization.

9040351530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 9040351530 is about 95080.7631963480. The cubic root of 9040351530 is about 2083.1878762374.

Adding to 9040351530 its reverse (351530409), we get a palindrome (9391881939).

The spelling of 9040351530 in words is "nine billion, forty million, three hundred fifty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 433 490 686 735 866 1029 1299 1470 1715 2029 2058 2165 2598 3031 3430 4058 4330 5145 6062 6087 6495 9093 10145 10290 12174 12990 14203 15155 18186 20290 21217 28406 30310 30435 42434 42609 45465 60870 63651 71015 85218 90930 99421 106085 127302 142030 148519 198842 212170 213045 297038 298263 318255 426090 445557 497105 596526 636510 695947 742595 878557 891114 994210 1391894 1485190 1491315 1757114 2087841 2227785 2635671 2982630 3479735 4175682 4392785 4455570 5271342 6149899 6959470 8785570 10439205 12299798 13178355 18449697 20878410 26356710 30749495 36899394 43049293 61498990 86098586 92248485 129147879 184496970 215246465 258295758 301345051 430492930 602690102 645739395 904035153 1291478790 1506725255 1808070306 3013450510 4520175765 9040351530