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414275140 = 22566131337
BaseRepresentation
bin11000101100010…
…101011001000100
31001212112100122201
4120230111121010
51322023301030
6105035204244
713160165146
oct3054253104
91055470581
10414275140
111a2936054
12b68a6684
1367a9c026
143d03cc96
15265832ca
hex18b15644

414275140 has 24 divisors (see below), whose sum is σ = 871321752. Its totient is φ = 165454080.

The previous prime is 414275129. The next prime is 414275203. The reversal of 414275140 is 41572414.

It can be written as a sum of positive squares in 4 ways, for example, as 198302724 + 215972416 = 14082^2 + 14696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414275099 and 414275108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2449 + ... + 28888.

It is an arithmetic number, because the mean of its divisors is an integer number (36305073).

Almost surely, 2414275140 is an apocalyptic number.

It is an amenable number.

414275140 is an abundant number, since it is smaller than the sum of its proper divisors (457046612).

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

414275140 is a wasteful number, since it uses less digits than its factorization.

414275140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32007 (or 32005 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 414275140 is about 20353.7500230302. The cubic root of 414275140 is about 745.4690618466.

The spelling of 414275140 in words is "four hundred fourteen million, two hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 661 1322 2644 3305 6610 13220 31337 62674 125348 156685 313370 626740 20713757 41427514 82855028 103568785 207137570 414275140