Search a number
-
+
427416030 = 232522720921
BaseRepresentation
bin11001011110011…
…101100111011110
31002210020222120100
4121132131213132
51333404303110
6110225001530
713406655606
oct3136354736
91083228510
10427416030
111aa2a0a98
12bb1832a6
136a7203c2
1440a9dc06
15277cbbc0
hex1979d9de

427416030 has 48 divisors (see below), whose sum is σ = 1116230544. Its totient is φ = 113470080.

The previous prime is 427416019. The next prime is 427416079. The reversal of 427416030 is 30614724.

It is a junction number, because it is equal to n+sod(n) for n = 427415985 and 427416003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9970 + ... + 30890.

It is an arithmetic number, because the mean of its divisors is an integer number (23254803).

Almost surely, 2427416030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427416030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558115272).

427416030 is an abundant number, since it is smaller than the sum of its proper divisors (688814514).

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

427416030 is a wasteful number, since it uses less digits than its factorization.

427416030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21161 (or 21158 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 427416030 is about 20674.0424203879. The cubic root of 427416030 is about 753.2693015163.

The spelling of 427416030 in words is "four hundred twenty-seven million, four hundred sixteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 227 454 681 1135 1362 2043 2270 3405 4086 6810 10215 20430 20921 41842 62763 104605 125526 188289 209210 313815 376578 627630 941445 1882890 4749067 9498134 14247201 23745335 28494402 42741603 47490670 71236005 85483206 142472010 213708015 427416030