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427058180 = 22528175989
BaseRepresentation
bin11001011101000…
…110010000000100
31002202120210200122
4121131012100010
51333311330210
6110213201112
713403635403
oct3135062004
91082523618
10427058180
111aa07714a
12bb030198
136a626563
1440a0963a
152775ab55
hex19746404

427058180 has 24 divisors (see below), whose sum is σ = 900025560. Its totient is φ = 170213120.

The previous prime is 427058167. The next prime is 427058189. The reversal of 427058180 is 81850724.

It can be written as a sum of positive squares in 4 ways, for example, as 8282884 + 418775296 = 2878^2 + 20464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 427058180.

It is not an unprimeable number, because it can be changed into a prime (427058189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32375 + ... + 43614.

It is an arithmetic number, because the mean of its divisors is an integer number (37501065).

Almost surely, 2427058180 is an apocalyptic number.

It is an amenable number.

427058180 is an abundant number, since it is smaller than the sum of its proper divisors (472967380).

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

427058180 is a wasteful number, since it uses less digits than its factorization.

427058180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76279 (or 76277 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 427058180 is about 20665.3860355910. The cubic root of 427058180 is about 753.0590203041.

The spelling of 427058180 in words is "four hundred twenty-seven million, fifty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 281 562 1124 1405 2810 5620 75989 151978 303956 379945 759890 1519780 21352909 42705818 85411636 106764545 213529090 427058180