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415340124 = 223173316151
BaseRepresentation
bin11000110000011…
…001011001011100
31001221112110112120
4120300121121130
51322311340444
6105114102540
713202222103
oct3060313134
91057473476
10415340124
111a34a3201
12b711aa50
13680829b4
143d23903a
15266e3b19
hex18c1965c

415340124 has 48 divisors (see below), whose sum is σ = 1029401856. Its totient is φ = 129888000.

The previous prime is 415340119. The next prime is 415340197. The reversal of 415340124 is 421043514.

It is a junction number, because it is equal to n+sod(n) for n = 415340094 and 415340103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64449 + ... + 70599.

It is an arithmetic number, because the mean of its divisors is an integer number (21445872).

Almost surely, 2415340124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415340124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514700928).

415340124 is an abundant number, since it is smaller than the sum of its proper divisors (614061732).

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

415340124 is a wasteful number, since it uses less digits than its factorization.

415340124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 415340124 is about 20379.8950929586. The cubic root of 415340124 is about 746.1073118151.

Adding to 415340124 its reverse (421043514), we get a palindrome (836383638).

The spelling of 415340124 in words is "four hundred fifteen million, three hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 331 662 993 1324 1986 3972 5627 6151 11254 12302 16881 18453 22508 24604 33762 36906 67524 73812 104567 209134 313701 418268 627402 1254804 2035981 4071962 6107943 8143924 12215886 24431772 34611677 69223354 103835031 138446708 207670062 415340124