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414680660 = 225171219649
BaseRepresentation
bin11000101101111…
…000011001010100
31001220021221220222
4120231320121110
51322124240120
6105052013512
713163504342
oct3055703124
91056257828
10414680660
111a3092799
12b6a61298
1367bb1794
143d106992
1526613525
hex18b78654

414680660 has 24 divisors (see below), whose sum is σ = 922055400. Its totient is φ = 156114944.

The previous prime is 414680659. The next prime is 414680663. The reversal of 414680660 is 66086414.

It can be written as a sum of positive squares in 4 ways, for example, as 120077764 + 294602896 = 10958^2 + 17164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414680660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414680663) 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, 609485 + ... + 610164.

It is an arithmetic number, because the mean of its divisors is an integer number (38418975).

Almost surely, 2414680660 is an apocalyptic number.

It is an amenable number.

414680660 is an abundant number, since it is smaller than the sum of its proper divisors (507374740).

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

414680660 is a wasteful number, since it uses less digits than its factorization.

414680660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219675 (or 1219673 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 414680660 is about 20363.7093870444. The cubic root of 414680660 is about 745.7122207206.

The spelling of 414680660 in words is "four hundred fourteen million, six hundred eighty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1219649 2439298 4878596 6098245 12196490 20734033 24392980 41468066 82936132 103670165 207340330 414680660