Search a number
-
+
413066706 = 2313231931193
BaseRepresentation
bin11000100111101…
…110010111010010
31001210020221222220
4120213232113102
51321221113311
6104553241510
713144003053
oct3047562722
91053227886
10413066706
111a2190148
12b6403296
1367767c90
143cc0672a
15263e5206
hex189ee5d2

413066706 has 64 divisors (see below), whose sum is σ = 933956352. Its totient is φ = 120840192.

The previous prime is 413066701. The next prime is 413066713. The reversal of 413066706 is 607660314.

It is not an unprimeable number, because it can be changed into a prime (413066701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345646 + ... + 346838.

It is an arithmetic number, because the mean of its divisors is an integer number (14593068).

Almost surely, 2413066706 is an apocalyptic number.

413066706 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413066706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466978176).

413066706 is an abundant number, since it is smaller than the sum of its proper divisors (520889646).

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

413066706 is a wasteful number, since it uses less digits than its factorization.

413066706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 413066706 is about 20324.0425604750. The cubic root of 413066706 is about 744.7435154506.

The spelling of 413066706 in words is "four hundred thirteen million, sixty-six thousand, seven hundred six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 193 299 386 579 598 897 1158 1193 1794 2386 2509 3579 4439 5018 7158 7527 8878 13317 15054 15509 26634 27439 31018 46527 54878 57707 82317 93054 115414 164634 173121 230249 346242 356707 460498 690747 713414 1070121 1381494 2140242 2993237 5295727 5986474 8979711 10591454 15887181 17959422 31774362 68844451 137688902 206533353 413066706