Search a number
-
+
427023360 = 2103353089
BaseRepresentation
bin11001011100111…
…101110000000000
31002202112000221000
4121130331300000
51333304221420
6110212332000
713403432031
oct3134756000
91082460830
10427023360
111aa052a75
12bb014000
136a61375a
14409daa88
1527750690
hex1973dc00

427023360 has 176 divisors, whose sum is σ = 1518055200. Its totient is φ = 113836032.

The previous prime is 427023349. The next prime is 427023367. The reversal of 427023360 is 63320724.

427023360 is a `hidden beast` number, since 427 + 0 + 233 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427023367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 136696 + ... + 139784.

Almost surely, 2427023360 is an apocalyptic number.

427023360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759027600).

427023360 is an abundant number, since it is smaller than the sum of its proper divisors (1091031840).

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

427023360 is a wasteful number, since it uses less digits than its factorization.

427023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 427023360 is about 20664.5435468582. The cubic root of 427023360 is about 753.0385529697.

The spelling of 427023360 in words is "four hundred twenty-seven million, twenty-three thousand, three hundred sixty".