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20316416 = 28611301
BaseRepresentation
bin100110110000…
…0000100000000
31102020011212212
41031200010000
520200111131
62003241252
7334454351
oct115400400
942204785
1020316416
111051702a
126979228
134294463
1429abd28
151bb4a2b
hex1360100

20316416 has 36 divisors (see below), whose sum is σ = 41249964. Its totient is φ = 9984000.

The previous prime is 20316409. The next prime is 20316419. The reversal of 20316416 is 61461302.

20316416 = T133 + T134 + ... + T498.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 246016 + 20070400 = 496^2 + 4480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20316391 and 20316400.

It is not an unprimeable number, because it can be changed into a prime (20316419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14966 + ... + 16266.

Almost surely, 220316416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624982).

20316416 is an abundant number, since it is smaller than the sum of its proper divisors (20933548).

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

20316416 is an equidigital number, since it uses as much as digits as its factorization.

20316416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 20316416 is about 4507.3735145870. The cubic root of 20316416 is about 272.8657535649.

Adding to 20316416 its reverse (61461302), we get a palindrome (81777718).

The spelling of 20316416 in words is "twenty million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1301 1952 2602 3904 5204 7808 10408 15616 20816 41632 79361 83264 158722 166528 317444 333056 634888 1269776 2539552 5079104 10158208 20316416