Search a number
-
+
416372020 = 22520818601
BaseRepresentation
bin11000110100010…
…101010100110100
31002000110220000221
4120310111110310
51323042401040
6105152144124
713214050411
oct3064252464
91060426027
10416372020
111a4038509
12b7538044
136835459c
143d427108
152684974a
hex18d15534

416372020 has 12 divisors (see below), whose sum is σ = 874381284. Its totient is φ = 166548800.

The previous prime is 416372003. The next prime is 416372051. The reversal of 416372020 is 20273614.

It can be written as a sum of positive squares in 2 ways, for example, as 271458576 + 144913444 = 16476^2 + 12038^2 .

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 3 ways as a sum of consecutive naturals, for example, 10409281 + ... + 10409320.

It is an arithmetic number, because the mean of its divisors is an integer number (72865107).

Almost surely, 2416372020 is an apocalyptic number.

It is an amenable number.

416372020 is an abundant number, since it is smaller than the sum of its proper divisors (458009264).

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

416372020 is a wasteful number, since it uses less digits than its factorization.

416372020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20818610 (or 20818608 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 416372020 is about 20405.1959069253. The cubic root of 416372020 is about 746.7246921140.

The spelling of 416372020 in words is "four hundred sixteen million, three hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 20 20818601 41637202 83274404 104093005 208186010 416372020