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413501660 = 2251113163887
BaseRepresentation
bin11000101001011…
…000100011011100
31001211002001122022
4120221120203130
51321324023120
6105010435312
713150464125
oct3051304334
91054061568
10413501660
111a2457a10
12b6592b38
136788ac50
143ccbb04c
152647e025
hex18a588dc

413501660 has 96 divisors (see below), whose sum is σ = 1027579392. Its totient is φ = 137790720.

The previous prime is 413501623. The next prime is 413501681. The reversal of 413501660 is 66105314.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465737 + ... + 466623.

It is an arithmetic number, because the mean of its divisors is an integer number (10703952).

Almost surely, 2413501660 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 413501660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513789696).

413501660 is an abundant number, since it is smaller than the sum of its proper divisors (614077732).

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

413501660 is a wasteful number, since it uses less digits than its factorization.

413501660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 413501660 is about 20334.7402245517. The cubic root of 413501660 is about 745.0048255772.

Adding to 413501660 its reverse (66105314), we get a palindrome (479606974).

The spelling of 413501660 in words is "four hundred thirteen million, five hundred one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 163 220 260 286 326 572 652 715 815 887 1430 1630 1774 1793 2119 2860 3260 3548 3586 4238 4435 7172 8476 8870 8965 9757 10595 11531 17740 17930 19514 21190 23062 23309 35860 39028 42380 46124 46618 48785 57655 93236 97570 115310 116545 126841 144581 195140 230620 233090 253682 289162 466180 507364 578324 634205 722905 1268410 1445810 1590391 1879553 2536820 2891620 3180782 3759106 6361564 7518212 7951955 9397765 15903910 18795530 20675083 31807820 37591060 41350166 82700332 103375415 206750830 413501660