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427370580 = 223457132223
BaseRepresentation
bin11001011110010…
…010100001010100
31002210011200020000
4121132102201110
51333401324310
6110224011300
713406406240
oct3136224124
91083150200
10427370580
111aa26a92a
12bb160b30
136a705800
1440a8b420
15277bd4c0
hex19792854

427370580 has 360 divisors, whose sum is σ = 1666570752. Its totient is φ = 89766144.

The previous prime is 427370551. The next prime is 427370597. The reversal of 427370580 is 85073724.

427370580 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 70 + 580 = 666.

It is a super-2 number, since 2×4273705802 = 365291225299072800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 1916349 + ... + 1916571.

Almost surely, 2427370580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427370580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833285376).

427370580 is an abundant number, since it is smaller than the sum of its proper divisors (1239200172).

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

427370580 is a wasteful number, since it uses less digits than its factorization.

427370580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 427370580 is about 20672.9431866873. The cubic root of 427370580 is about 753.2426005185.

The spelling of 427370580 in words is "four hundred twenty-seven million, three hundred seventy thousand, five hundred eighty".