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41430012 = 22313231659
BaseRepresentation
bin1001111000001…
…0101111111100
32212221212021220
42132002233330
541101230022
64035553340
71012102131
oct236025774
985855256
1041430012
1121427a88
1211a5b850
138777700
145706588
15398585c
hex2782bfc

41430012 has 72 divisors (see below), whose sum is σ = 108218880. Its totient is φ = 12317760.

The previous prime is 41430007. The next prime is 41430017. The reversal of 41430012 is 21003414.

It is an interprime number because it is at equal distance from previous prime (41430007) and next prime (41430017).

It is a super-3 number, since 3×414300123 (a number of 24 digits) contains 333 as substring.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 41429973 and 41430000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41430017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62539 + ... + 63197.

It is an arithmetic number, because the mean of its divisors is an integer number (1503040).

Almost surely, 241430012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54109440).

41430012 is an abundant number, since it is smaller than the sum of its proper divisors (66788868).

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

41430012 is a wasteful number, since it uses less digits than its factorization.

41430012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 41430012 is about 6436.6149488687. The cubic root of 41430012 is about 346.0230418905.

Adding to 41430012 its reverse (21003414), we get a palindrome (62433426).

The spelling of 41430012 in words is "forty-one million, four hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 169 186 338 372 403 507 659 676 806 1014 1209 1318 1612 1977 2028 2418 2636 3954 4836 5239 7908 8567 10478 15717 17134 20429 20956 25701 31434 34268 40858 51402 61287 62868 81716 102804 111371 122574 222742 245148 265577 334113 445484 531154 668226 796731 1062308 1336452 1593462 3186924 3452501 6905002 10357503 13810004 20715006 41430012