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412830210 = 235131771877
BaseRepresentation
bin11000100110110…
…100101000000010
31001202210221120210
4120212310220002
51321141031320
6104544214550
713141666422
oct3046645002
91052727523
10412830210
111a20394a1
12b630a456
13676b4440
143cb84482
152639a0e0
hex189b4a02

412830210 has 128 divisors (see below), whose sum is σ = 1146991104. Its totient is φ = 94187520.

The previous prime is 412830191. The next prime is 412830211. The reversal of 412830210 is 12038214.

It is not an unprimeable number, because it can be changed into a prime (412830211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470292 + ... + 471168.

It is an arithmetic number, because the mean of its divisors is an integer number (8960868).

Almost surely, 2412830210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412830210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573495552).

412830210 is an abundant number, since it is smaller than the sum of its proper divisors (734160894).

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

412830210 is a wasteful number, since it uses less digits than its factorization.

412830210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 412830210 is about 20318.2235936117. The cubic root of 412830210 is about 744.6013572277.

Adding to 412830210 its reverse (12038214), we get a palindrome (424868424).

The spelling of 412830210 in words is "four hundred twelve million, eight hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 71 78 85 102 130 142 170 195 213 221 255 355 390 426 442 510 663 710 877 923 1065 1105 1207 1326 1754 1846 2130 2210 2414 2631 2769 3315 3621 4385 4615 5262 5538 6035 6630 7242 8770 9230 11401 12070 13155 13845 14909 15691 18105 22802 26310 27690 29818 31382 34203 36210 44727 47073 57005 62267 68406 74545 78455 89454 94146 114010 124534 149090 156910 171015 186801 193817 223635 235365 311335 342030 373602 387634 447270 470730 581451 622670 809471 934005 969085 1058539 1162902 1618942 1868010 1938170 2117078 2428413 2907255 3175617 4047355 4856826 5292695 5814510 6351234 8094710 10585390 12142065 13761007 15878085 24284130 27522014 31756170 41283021 68805035 82566042 137610070 206415105 412830210