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12819220 = 2252812281
BaseRepresentation
bin110000111001…
…101100010100
3220010021122221
4300321230110
511240203340
61134432124
7213650551
oct60715424
926107587
1012819220
1172662a7
124362644
13286ab4b
1419b9a28
1511d344a
hexc39b14

12819220 has 24 divisors (see below), whose sum is σ = 27028008. Its totient is φ = 5107200.

The previous prime is 12819197. The next prime is 12819329. The reversal of 12819220 is 2291821.

It can be written as a sum of positive squares in 4 ways, for example, as 2553604 + 10265616 = 1598^2 + 3204^2 .

It is a congruent number.

It is an unprimeable number.

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, 4480 + ... + 6760.

It is an arithmetic number, because the mean of its divisors is an integer number (1126167).

Almost surely, 212819220 is an apocalyptic number.

12819220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12819220 is an abundant number, since it is smaller than the sum of its proper divisors (14208788).

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

12819220 is a wasteful number, since it uses less digits than its factorization.

12819220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 12819220 is about 3580.3938330860. The cubic root of 12819220 is about 234.0384430472.

It can be divided in two parts, 1281 and 9220, that added together give a palindrome (10501).

The spelling of 12819220 in words is "twelve million, eight hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 281 562 1124 1405 2281 2810 4562 5620 9124 11405 22810 45620 640961 1281922 2563844 3204805 6409610 12819220