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12842020 = 2254115661
BaseRepresentation
bin110000111111…
…010000100100
3220011102221101
4300333100210
511241421040
61135125444
7214104202
oct60772044
926142841
1012842020
117281444
124373884
132878339
1419c4072
1511da09a
hexc3f424

12842020 has 24 divisors (see below), whose sum is σ = 27627768. Its totient is φ = 5011200.

The previous prime is 12841991. The next prime is 12842023. The reversal of 12842020 is 2024821.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 11035684 = 1344^2 + 3322^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12842023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7011 + ... + 8650.

It is an arithmetic number, because the mean of its divisors is an integer number (1151157).

Almost surely, 212842020 is an apocalyptic number.

12842020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12842020 is an abundant number, since it is smaller than the sum of its proper divisors (14785748).

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

12842020 is a wasteful number, since it uses less digits than its factorization.

12842020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 12842020 is about 3583.5764258629. The cubic root of 12842020 is about 234.1771128487.

Adding to 12842020 its reverse (2024821), we get a palindrome (14866841).

The spelling of 12842020 in words is "twelve million, eight hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 15661 31322 62644 78305 156610 313220 642101 1284202 2568404 3210505 6421010 12842020