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1020416 = 291993
BaseRepresentation
bin11111001001000000000
31220211202012
43321020000
5230123131
633512052
711446655
oct3711000
91824665
101020416
11637721
12412628
132995c7
141c7c2c
1515252b
hexf9200

1020416 has 20 divisors (see below), whose sum is σ = 2039862. Its totient is φ = 509952.

The previous prime is 1020413. The next prime is 1020419. The reversal of 1020416 is 6140201.

It is an interprime number because it is at equal distance from previous prime (1020413) and next prime (1020419).

It can be written as a sum of positive squares in only one way, i.e., 774400 + 246016 = 880^2 + 496^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 1020416.

It is not an unprimeable number, because it can be changed into a prime (1020413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 485 + ... + 1508.

21020416 is an apocalyptic number.

1020416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1020416 is a deficient number, since it is larger than the sum of its proper divisors (1019446).

1020416 is an frugal number, since it uses more digits than its factorization.

1020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1020416 is about 1010.1564235305. The cubic root of 1020416 is about 100.6759539015.

Adding to 1020416 its reverse (6140201), we get a palindrome (7160617).

The spelling of 1020416 in words is "one million, twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1993 3986 7972 15944 31888 63776 127552 255104 510208 1020416