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413105004 = 223213882703
BaseRepresentation
bin11000100111110…
…111101101101100
31001210022220112100
4120213313231230
51321223330004
6104554135100
713144222524
oct3047675554
91053286470
10413105004
111a22069a4
12b6421490
136777c540
143cc16684
1526401739
hex189f7b6c

413105004 has 36 divisors (see below), whose sum is σ = 1124564896. Its totient is φ = 127109088.

The previous prime is 413105003. The next prime is 413105023. The reversal of 413105004 is 400501314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 (413105003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440884 + ... + 441819.

Almost surely, 2413105004 is an apocalyptic number.

It is an amenable number.

413105004 is an abundant number, since it is smaller than the sum of its proper divisors (711459892).

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

413105004 is a wasteful number, since it uses less digits than its factorization.

413105004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882726 (or 882721 counting only the distinct ones).

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

The square root of 413105004 is about 20324.9847232415. The cubic root of 413105004 is about 744.7665313504.

Adding to 413105004 its reverse (400501314), we get a palindrome (813606318).

The spelling of 413105004 in words is "four hundred thirteen million, one hundred five thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 882703 1765406 2648109 3530812 5296218 7944327 10592436 11475139 15888654 22950278 31777308 34425417 45900556 68850834 103276251 137701668 206552502 413105004