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12905037 = 32412853
BaseRepresentation
bin110001001110…
…101001001101
3220021122101100
4301032221031
511300430122
61140333313
7214456005
oct61165115
926248340
1012905037
117314822
1243a4239
13289ac22
1419dd005
1511edaac
hexc4ea4d

12905037 has 18 divisors (see below), whose sum is σ = 19128746. Its totient is φ = 8383680.

The previous prime is 12905003. The next prime is 12905041. The reversal of 12905037 is 73050921.

12905037 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2368521 + 10536516 = 1539^2 + 3246^2 .

It is not a de Polignac number, because 12905037 - 212 = 12900941 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12905037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12905077) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14703 + ... + 15555.

Almost surely, 212905037 is an apocalyptic number.

It is an amenable number.

12905037 is a deficient number, since it is larger than the sum of its proper divisors (6223709).

12905037 is an equidigital number, since it uses as much as digits as its factorization.

12905037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 12905037 is about 3592.3581391615. The cubic root of 12905037 is about 234.5595310479.

Adding to 12905037 its reverse (73050921), we get a palindrome (85955958).

The spelling of 12905037 in words is "twelve million, nine hundred five thousand, thirty-seven".

Divisors: 1 3 9 41 123 369 853 1681 2559 5043 7677 15129 34973 104919 314757 1433893 4301679 12905037