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416313020 = 22520815651
BaseRepresentation
bin11000110100000…
…110111010111100
31002000100220002202
4120310012322330
51323034004040
6105151011032
713213413404
oct3064067274
91060326082
10416313020
111a3aa8152
12b7509a78
1368333786
143d40d804
1526837015
hex18d06ebc

416313020 has 12 divisors (see below), whose sum is σ = 874257384. Its totient is φ = 166525200.

The previous prime is 416313019. The next prime is 416313049. The reversal of 416313020 is 20313614.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 20815651 = 416313020 / (4 + 1 + 6 + 3 + 1 + 3 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 416312983 and 416313001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10407806 + ... + 10407845.

It is an arithmetic number, because the mean of its divisors is an integer number (72854782).

Almost surely, 2416313020 is an apocalyptic number.

It is an amenable number.

416313020 is an abundant number, since it is smaller than the sum of its proper divisors (457944364).

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

416313020 is a wasteful number, since it uses less digits than its factorization.

416313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20815660 (or 20815658 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 416313020 is about 20403.7501455002. The cubic root of 416313020 is about 746.6894201010.

Adding to 416313020 its reverse (20313614), we get a palindrome (436626634).

The spelling of 416313020 in words is "four hundred sixteen million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 20815651 41631302 83262604 104078255 208156510 416313020