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415320066 = 232718118211
BaseRepresentation
bin11000110000010…
…100100000000010
31001221111110000200
4120300110200002
51322310220231
6105113430030
713202106450
oct3060244002
91057443020
10415320066
111a348a127
12b710b316
1368076825
143d2319d0
15266dcbe6
hex18c14802

415320066 has 48 divisors (see below), whose sum is σ = 1034150208. Its totient is φ = 118000800.

The previous prime is 415320041. The next prime is 415320083. The reversal of 415320066 is 660023514.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13701 + ... + 31911.

It is an arithmetic number, because the mean of its divisors is an integer number (21544796).

Almost surely, 2415320066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415320066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517075104).

415320066 is an abundant number, since it is smaller than the sum of its proper divisors (618830142).

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

415320066 is a wasteful number, since it uses less digits than its factorization.

415320066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18407 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 415320066 is about 20379.4029843860. The cubic root of 415320066 is about 746.0953010473.

The spelling of 415320066 in words is "four hundred fifteen million, three hundred twenty thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 1086 1267 1629 2534 3258 3801 7602 11403 18211 22806 36422 54633 109266 127477 163899 254954 327798 382431 764862 1147293 2294586 3296191 6592382 9888573 19777146 23073337 29665719 46146674 59331438 69220011 138440022 207660033 415320066