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410113530 = 2365101557
BaseRepresentation
bin11000011100011…
…101010111111010
31001120200221000000
4120130131113322
51314442113110
6104410053430
713106623161
oct3034352772
91046627000
10410113530
111a0553402
12b541a276
1366c72a38
143c6783d8
15260101c0
hex1871d5fa

410113530 has 112 divisors (see below), whose sum is σ = 1119765384. Its totient is φ = 108086400.

The previous prime is 410113519. The next prime is 410113531. The reversal of 410113530 is 35311014.

It can be written as a sum of positive squares in 4 ways, for example, as 344065401 + 66048129 = 18549^2 + 8127^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (410113531) 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 55 ways as a sum of consecutive naturals, for example, 736012 + ... + 736568.

Almost surely, 2410113530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410113530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559882692).

410113530 is an abundant number, since it is smaller than the sum of its proper divisors (709651854).

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

410113530 is a wasteful number, since it uses less digits than its factorization.

410113530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 668 counting only the distinct ones).

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

The square root of 410113530 is about 20251.2599608024. The cubic root of 410113530 is about 742.9644477107.

Adding to 410113530 its reverse (35311014), we get a palindrome (445424544).

The spelling of 410113530 in words is "four hundred ten million, one hundred thirteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 243 270 303 405 486 505 557 606 729 810 909 1010 1114 1215 1458 1515 1671 1818 2430 2727 2785 3030 3342 3645 4545 5013 5454 5570 7290 8181 8355 9090 10026 13635 15039 16362 16710 24543 25065 27270 30078 40905 45117 49086 50130 56257 73629 75195 81810 90234 112514 122715 135351 147258 150390 168771 225585 245430 270702 281285 337542 368145 406053 451170 506313 562570 676755 736290 812106 843855 1012626 1353510 1518939 1687710 2030265 2531565 3037878 4060530 4556817 5063130 7594695 9113634 13670451 15189390 22784085 27340902 41011353 45568170 68352255 82022706 136704510 205056765 410113530