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413100020 = 225532111847
BaseRepresentation
bin11000100111110…
…110011111110100
31001210022122200202
4120213312133310
51321223200040
6104554100032
713144202144
oct3047663764
91053278622
10413100020
111a2203183
12b641a618
136777a1a8
143cc14924
1526400015
hex189f67f4

413100020 has 48 divisors (see below), whose sum is σ = 888547968. Its totient is φ = 161266560.

The previous prime is 413100013. The next prime is 413100059. The reversal of 413100020 is 20001314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413099974 and 413100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222737 + ... + 224583.

It is an arithmetic number, because the mean of its divisors is an integer number (18511416).

Almost surely, 2413100020 is an apocalyptic number.

It is an amenable number.

413100020 is an abundant number, since it is smaller than the sum of its proper divisors (475447948).

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

413100020 is a wasteful number, since it uses less digits than its factorization.

413100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 413100020 is about 20324.8621151535. The cubic root of 413100020 is about 744.7635362028.

Adding to 413100020 its reverse (20001314), we get a palindrome (433101334).

The spelling of 413100020 in words is "four hundred thirteen million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 211 212 265 422 530 844 1055 1060 1847 2110 3694 4220 7388 9235 11183 18470 22366 36940 44732 55915 97891 111830 195782 223660 389717 391564 489455 779434 978910 1558868 1948585 1957820 3897170 7794340 20655001 41310002 82620004 103275005 206550010 413100020