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413130040 = 23567154153
BaseRepresentation
bin11000100111111…
…101110100111000
31001210101011212121
4120213331310320
51321230130130
6104554451024
713144355521
oct3047756470
91053334777
10413130040
111a2223794
12b6433a74
136778aa5b
143cc21848
1526408d7a
hex189fdd38

413130040 has 32 divisors (see below), whose sum is σ = 943422480. Its totient is φ = 162784512.

The previous prime is 413130001. The next prime is 413130041. The reversal of 413130040 is 40031314.

It is a junction number, because it is equal to n+sod(n) for n = 413129996 and 413130023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413130041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74397 + ... + 79756.

Almost surely, 2413130040 is an apocalyptic number.

413130040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413130040 is an abundant number, since it is smaller than the sum of its proper divisors (530292440).

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

413130040 is a wasteful number, since it uses less digits than its factorization.

413130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154231 (or 154227 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 413130040 is about 20325.6006061322. The cubic root of 413130040 is about 744.7815764342.

Adding to 413130040 its reverse (40031314), we get a palindrome (453161354).

The spelling of 413130040 in words is "four hundred thirteen million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 154153 308306 616612 770765 1233224 1541530 3083060 6166120 10328251 20656502 41313004 51641255 82626008 103282510 206565020 413130040