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1072504040 = 23526812601
BaseRepresentation
bin111111111011010…
…001110011101000
32202202002211221212
4333323101303220
54144030112130
6254231252252
735402063636
oct7773216350
92682084855
101072504040
11500445183
1225b21a088
1314127469a
14a2622356
1564253e95
hex3fed1ce8

1072504040 has 16 divisors (see below), whose sum is σ = 2413134180. Its totient is φ = 429001600.

The previous prime is 1072504021. The next prime is 1072504073. The reversal of 1072504040 is 404052701.

It can be written as a sum of positive squares in 2 ways, for example, as 1032079876 + 40424164 = 32126^2 + 6358^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1072503997 and 1072504015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13406261 + ... + 13406340.

Almost surely, 21072504040 is an apocalyptic number.

1072504040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072504040 is an abundant number, since it is smaller than the sum of its proper divisors (1340630140).

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

1072504040 is a wasteful number, since it uses less digits than its factorization.

1072504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26812612 (or 26812608 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 1072504040 is about 32749.1074687540. The cubic root of 1072504040 is about 1023.6063677679.

Adding to 1072504040 its reverse (404052701), we get a palindrome (1476556741).

The spelling of 1072504040 in words is "one billion, seventy-two million, five hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 26812601 53625202 107250404 134063005 214500808 268126010 536252020 1072504040