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1040187361 = 3126011801
BaseRepresentation
bin111101111111111…
…111111111100001
32200111021222210211
4331333333333201
54112241443421
6251114454121
734530306133
oct7577777741
92614258724
101040187361
11494182184
12250434341
1313766b0a5
149c20d053
15614bd9e1
hex3dffffe1

1040187361 has 12 divisors (see below), whose sum is σ = 1077210372. Its totient is φ = 1004400000.

The previous prime is 1040187349. The next prime is 1040187377. The reversal of 1040187361 is 1637810401.

It can be written as a sum of positive squares in 2 ways, for example, as 498182400 + 542004961 = 22320^2 + 23281^2 .

It is not a de Polignac number, because 1040187361 - 217 = 1040056289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1040187331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576661 + ... + 578461.

It is an arithmetic number, because the mean of its divisors is an integer number (89767531).

Almost surely, 21040187361 is an apocalyptic number.

It is an amenable number.

1040187361 is a deficient number, since it is larger than the sum of its proper divisors (37023011).

1040187361 is an equidigital number, since it uses as much as digits as its factorization.

1040187361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1040187361 is about 32251.9357713611. The cubic root of 1040187361 is about 1013.2202420127.

Adding to 1040187361 its reverse (1637810401), we get a palindrome (2677997762).

The spelling of 1040187361 in words is "one billion, forty million, one hundred eighty-seven thousand, three hundred sixty-one".

Divisors: 1 31 601 961 1801 18631 55831 577561 1082401 1730761 33554431 1040187361