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415035405 = 3259223009
BaseRepresentation
bin11000101111001…
…111000000001101
31001220221222112200
4120233033000031
51322222113110
6105103352113
713166512521
oct3057170015
91056858480
10415035405
111a3305274
12b6bb2639
1367ca70a5
143d199d81
15266836c0
hex18bcf00d

415035405 has 12 divisors (see below), whose sum is σ = 719394780. Its totient is φ = 221352192.

The previous prime is 415035403. The next prime is 415035407. The reversal of 415035405 is 504530514.

It is an interprime number because it is at equal distance from previous prime (415035403) and next prime (415035407).

It can be written as a sum of positive squares in 2 ways, for example, as 69856164 + 345179241 = 8358^2 + 18579^2 .

It is not a de Polignac number, because 415035405 - 21 = 415035403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415035403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4611460 + ... + 4611549.

It is an arithmetic number, because the mean of its divisors is an integer number (59949565).

Almost surely, 2415035405 is an apocalyptic number.

415035405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415035405 is a deficient number, since it is larger than the sum of its proper divisors (304359375).

415035405 is a wasteful number, since it uses less digits than its factorization.

415035405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9223020 (or 9223017 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 415035405 is about 20372.4177504782. The cubic root of 415035405 is about 745.9248038066.

Adding to 415035405 its reverse (504530514), we get a palindrome (919565919).

The spelling of 415035405 in words is "four hundred fifteen million, thirty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 45 9223009 27669027 46115045 83007081 138345135 415035405