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415540134 = 23234766529
BaseRepresentation
bin11000110001001…
…010001110100110
31001221220121220100
4120301022032212
51322334241014
6105122244530
713204014162
oct3061121646
91057817810
10415540134
111a361a4a9
12b71b6746
1368122a49
143d28bca2
1526733009
hex18c4a3a6

415540134 has 24 divisors (see below), whose sum is σ = 902945160. Its totient is φ = 138112128.

The previous prime is 415540133. The next prime is 415540187. The reversal of 415540134 is 431045514.

It is a happy number.

It is a super-3 number, since 3×4155401343 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 415540098 and 415540107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415540133) 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 11 ways as a sum of consecutive naturals, for example, 27019 + ... + 39510.

It is an arithmetic number, because the mean of its divisors is an integer number (37622715).

Almost surely, 2415540134 is an apocalyptic number.

415540134 is an abundant number, since it is smaller than the sum of its proper divisors (487405026).

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

415540134 is a wasteful number, since it uses less digits than its factorization.

415540134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66884 (or 66881 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 415540134 is about 20384.8015442878. The cubic root of 415540134 is about 746.2270570289.

Adding to 415540134 its reverse (431045514), we get a palindrome (846585648).

The spelling of 415540134 in words is "four hundred fifteen million, five hundred forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 347 694 1041 2082 3123 6246 66529 133058 199587 399174 598761 1197522 23085563 46171126 69256689 138513378 207770067 415540134