Search a number
-
+
411433020 = 2236528219
BaseRepresentation
bin11000100001011…
…111100000111100
31001200011222000000
4120201133200330
51320311324040
6104454234300
713124060115
oct3041374074
91050158000
10411433020
111a1274799
12b5955990
13673154bb
143c8dd20c
15261c1130
hex1885f83c

411433020 has 84 divisors (see below), whose sum is σ = 1295467320. Its totient is φ = 109711584.

The previous prime is 411432979. The next prime is 411433067. The reversal of 411433020 is 20334114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 411432984 and 411433002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 471 + ... + 28689.

It is an arithmetic number, because the mean of its divisors is an integer number (15422230).

Almost surely, 2411433020 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 411433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647733660).

411433020 is an abundant number, since it is smaller than the sum of its proper divisors (884034300).

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

411433020 is a wasteful number, since it uses less digits than its factorization.

411433020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28246 (or 28229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 411433020 is about 20283.8117719525. The cubic root of 411433020 is about 743.7603937064.

Adding to 411433020 its reverse (20334114), we get a palindrome (431767134).

The spelling of 411433020 in words is "four hundred eleven million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 28219 56438 84657 112876 141095 169314 253971 282190 338628 423285 507942 564380 761913 846570 1015884 1269855 1523826 1693140 2285739 2539710 3047652 3809565 4571478 5079420 6857217 7619130 9142956 11428695 13714434 15238260 20571651 22857390 27428868 34286085 41143302 45714780 68572170 82286604 102858255 137144340 205716510 411433020