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12780032 = 29109229
BaseRepresentation
bin110000110000…
…001000000000
3220001021220112
4300300020000
511232430112
61133530452
7213425366
oct60601000
926037815
1012780032
117239911
124343a28
132856065
1419a9636
1511c6a22
hexc30200

12780032 has 40 divisors (see below), whose sum is σ = 25881900. Its totient is φ = 6303744.

The previous prime is 12780017. The next prime is 12780113. The reversal of 12780032 is 23008721.

It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 1597696 = 3344^2 + 1264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55694 + ... + 55922.

Almost surely, 212780032 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 12780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940950).

12780032 is an abundant number, since it is smaller than the sum of its proper divisors (13101868).

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

12780032 is an equidigital number, since it uses as much as digits as its factorization.

12780032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 12780032 is about 3574.9170619750. The cubic root of 12780032 is about 233.7997166119.

Adding to 12780032 its reverse (23008721), we get a palindrome (35788753).

The spelling of 12780032 in words is "twelve million, seven hundred eighty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 229 256 436 458 512 872 916 1744 1832 3488 3664 6976 7328 13952 14656 24961 27904 29312 49922 55808 58624 99844 117248 199688 399376 798752 1597504 3195008 6390016 12780032