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413036580 = 2235115910607
BaseRepresentation
bin11000100111100…
…111000000100100
31001210012102200010
4120213213000210
51321214132310
6104552450220
713143516165
oct3047470044
91053172603
10413036580
111a216a550
12b63a9970
1367757358
143cbd976c
15263db320
hex189e7024

413036580 has 96 divisors (see below), whose sum is σ = 1283143680. Its totient is φ = 98423680.

The previous prime is 413036567. The next prime is 413036609. The reversal of 413036580 is 85630314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33637 + ... + 44243.

It is an arithmetic number, because the mean of its divisors is an integer number (13366080).

Almost surely, 2413036580 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 413036580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

413036580 is an abundant number, since it is smaller than the sum of its proper divisors (870107100).

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

413036580 is a wasteful number, since it uses less digits than its factorization.

413036580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10689 (or 10687 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 413036580 is about 20323.3014050375. The cubic root of 413036580 is about 744.7254096675.

Adding to 413036580 its reverse (85630314), we get a palindrome (498666894).

The spelling of 413036580 in words is "four hundred thirteen million, thirty-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 6490 7788 9735 10607 12980 19470 21214 31821 38940 42428 53035 63642 106070 116677 127284 159105 212140 233354 318210 350031 466708 583385 625813 636420 700062 1166770 1251626 1400124 1750155 1877439 2333540 2503252 3129065 3500310 3754878 6258130 6883943 7000620 7509756 9387195 12516260 13767886 18774390 20651829 27535772 34419715 37548780 41303658 68839430 82607316 103259145 137678860 206518290 413036580