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415025320 = 23510375633
BaseRepresentation
bin11000101111001…
…100100010101000
31001220221110201011
4120233030202220
51322221302240
6105103233304
713166441233
oct3057144250
91056843634
10415025320
111a32a8736
12b6ba8834
1367ca2618
143d19641a
15266806ea
hex18bcc8a8

415025320 has 16 divisors (see below), whose sum is σ = 933807060. Its totient is φ = 166010112.

The previous prime is 415025297. The next prime is 415025321. The reversal of 415025320 is 23520514.

It can be written as a sum of positive squares in 2 ways, for example, as 407151684 + 7873636 = 20178^2 + 2806^2 .

It is a super-2 number, since 2×4150253202 = 344492032482204800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415025291 and 415025300.

It is not an unprimeable number, because it can be changed into a prime (415025321) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5187777 + ... + 5187856.

Almost surely, 2415025320 is an apocalyptic number.

415025320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415025320 is an abundant number, since it is smaller than the sum of its proper divisors (518781740).

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

415025320 is a wasteful number, since it uses less digits than its factorization.

415025320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375644 (or 10375640 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 415025320 is about 20372.1702329428. The cubic root of 415025320 is about 745.9187619826.

Adding to 415025320 its reverse (23520514), we get a palindrome (438545834).

The spelling of 415025320 in words is "four hundred fifteen million, twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 10375633 20751266 41502532 51878165 83005064 103756330 207512660 415025320