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12900040 = 235322501
BaseRepresentation
bin110001001101…
…011011001000
3220021101112021
4301031123020
511300300130
61140254224
7214435306
oct61153310
926241467
1012900040
117310a9a
1243a1374
13289887a
1419db276
1511ec37a
hexc4d6c8

12900040 has 16 divisors (see below), whose sum is σ = 29025180. Its totient is φ = 5160000.

The previous prime is 12900011. The next prime is 12900047. The reversal of 12900040 is 4000921.

It can be written as a sum of positive squares in 2 ways, for example, as 11847364 + 1052676 = 3442^2 + 1026^2 .

It is a super-2 number, since 2×129000402 = 332822064003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12899987 and 12900023.

It is not an unprimeable number, because it can be changed into a prime (12900047) 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 3 ways as a sum of consecutive naturals, for example, 161211 + ... + 161290.

Almost surely, 212900040 is an apocalyptic number.

12900040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12900040 is an abundant number, since it is smaller than the sum of its proper divisors (16125140).

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

12900040 is a wasteful number, since it uses less digits than its factorization.

12900040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322512 (or 322508 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 12900040 is about 3591.6625676697. The cubic root of 12900040 is about 234.5292522947.

Adding to 12900040 its reverse (4000921), we get a palindrome (16900961).

The spelling of 12900040 in words is "twelve million, nine hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 322501 645002 1290004 1612505 2580008 3225010 6450020 12900040