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414061220 = 22534759663
BaseRepresentation
bin11000101011100…
…001001010100100
31001212010111012202
4120223201022210
51321444424340
6105030434032
713155314366
oct3053411244
91055114182
10414061220
111a27aa361
12b6802918
1367a25851
143cdc4d36
152653ec15
hex18ae12a4

414061220 has 24 divisors (see below), whose sum is σ = 872049024. Its totient is φ = 165144416.

The previous prime is 414061213. The next prime is 414061223. The reversal of 414061220 is 22160414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 414061192 and 414061201.

It is not an unprimeable number, because it can be changed into a prime (414061223) 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, 22892 + ... + 36771.

It is an arithmetic number, because the mean of its divisors is an integer number (36335376).

Almost surely, 2414061220 is an apocalyptic number.

It is an amenable number.

414061220 is an abundant number, since it is smaller than the sum of its proper divisors (457987804).

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

414061220 is a wasteful number, since it uses less digits than its factorization.

414061220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60019 (or 60017 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 414061220 is about 20348.4942931903. The cubic root of 414061220 is about 745.3407266873.

The spelling of 414061220 in words is "four hundred fourteen million, sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 347 694 1388 1735 3470 6940 59663 119326 238652 298315 596630 1193260 20703061 41406122 82812244 103515305 207030610 414061220