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415342120 = 23528336691
BaseRepresentation
bin11000110000011…
…001111000101000
31001221112120021111
4120300121320220
51322311421440
6105114120104
713202230654
oct3060317050
91057476244
10415342120
111a34a4756
12b7120034
136808388b
143d239a64
15266e44ea
hex18c19e28

415342120 has 32 divisors (see below), whose sum is σ = 937847520. Its totient is φ = 165545280.

The previous prime is 415342091. The next prime is 415342121. The reversal of 415342120 is 21243514.

It is a junction number, because it is equal to n+sod(n) for n = 415342091 and 415342100.

It is not an unprimeable number, because it can be changed into a prime (415342121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7026 + ... + 29665.

It is an arithmetic number, because the mean of its divisors is an integer number (29307735).

Almost surely, 2415342120 is an apocalyptic number.

415342120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415342120 is an abundant number, since it is smaller than the sum of its proper divisors (522505400).

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

415342120 is a wasteful number, since it uses less digits than its factorization.

415342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36985 (or 36981 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 415342120 is about 20379.9440627299. The cubic root of 415342120 is about 746.1085070025.

Adding to 415342120 its reverse (21243514), we get a palindrome (436585634).

The spelling of 415342120 in words is "four hundred fifteen million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 283 566 1132 1415 2264 2830 5660 11320 36691 73382 146764 183455 293528 366910 733820 1467640 10383553 20767106 41534212 51917765 83068424 103835530 207671060 415342120