Search a number
-
+
418004120 = 23585312251
BaseRepresentation
bin11000111010100…
…011110010011000
31002010112210212002
4120322203302120
51324002112440
6105251140132
713233655622
oct3072436230
91063483762
10418004120
111a4a52756
12b7ba4648
13687a6421
143d72dc12
1526a6d115
hex18ea3c98

418004120 has 32 divisors (see below), whose sum is σ = 941688720. Its totient is φ = 166992000.

The previous prime is 418004113. The next prime is 418004131. The reversal of 418004120 is 21400814.

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 = 418004092 and 418004101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27995 + ... + 40245.

Almost surely, 2418004120 is an apocalyptic number.

418004120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

418004120 is an abundant number, since it is smaller than the sum of its proper divisors (523684600).

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

418004120 is a wasteful number, since it uses less digits than its factorization.

418004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13115 (or 13111 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 418004120 is about 20445.1490579061. The cubic root of 418004120 is about 747.6990935096.

Adding to 418004120 its reverse (21400814), we get a palindrome (439404934).

The spelling of 418004120 in words is "four hundred eighteen million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 853 1706 3412 4265 6824 8530 12251 17060 24502 34120 49004 61255 98008 122510 245020 490040 10450103 20900206 41800412 52250515 83600824 104501030 209002060 418004120