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414071060 = 225131592581
BaseRepresentation
bin11000101011100…
…011100100010100
31001212010222201012
4120223203210110
51322000233220
6105030551352
713155355154
oct3053434424
91055128635
10414071060
111a2806797
12b6808558
1367a2a180
143cdc8764
1526542ac5
hex18ae3914

414071060 has 24 divisors (see below), whose sum is σ = 936438216. Its totient is φ = 152887680.

The previous prime is 414071059. The next prime is 414071089. The reversal of 414071060 is 60170414.

It can be written as a sum of positive squares in 4 ways, for example, as 11587216 + 402483844 = 3404^2 + 20062^2 .

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 7 ways as a sum of consecutive naturals, for example, 796031 + ... + 796550.

It is an arithmetic number, because the mean of its divisors is an integer number (39018259).

Almost surely, 2414071060 is an apocalyptic number.

It is an amenable number.

414071060 is an abundant number, since it is smaller than the sum of its proper divisors (522367156).

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

414071060 is a wasteful number, since it uses less digits than its factorization.

414071060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592603 (or 1592601 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 414071060 is about 20348.7360786856. The cubic root of 414071060 is about 745.3466308824.

The spelling of 414071060 in words is "four hundred fourteen million, seventy-one thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1592581 3185162 6370324 7962905 15925810 20703553 31851620 41407106 82814212 103517765 207035530 414071060