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8040141 = 3641269
BaseRepresentation
bin11110101010111011001101
3120010111000000
4132222323031
54024241031
6444154513
7125224434
oct36527315
916114000
108040141
1145a174a
122838a39
1318867a5
1410d411b
15a8c3e6
hex7aaecd

8040141 has 28 divisors (see below), whose sum is σ = 12394620. Its totient is φ = 5209920.

The previous prime is 8040121. The next prime is 8040157. The reversal of 8040141 is 1410408.

It can be written as a sum of positive squares in 2 ways, for example, as 455625 + 7584516 = 675^2 + 2754^2 .

It is not a de Polignac number, because 8040141 - 27 = 8040013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8040121) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29755 + ... + 30023.

It is an arithmetic number, because the mean of its divisors is an integer number (442665).

Almost surely, 28040141 is an apocalyptic number.

8040141 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8040141 is a deficient number, since it is larger than the sum of its proper divisors (4354479).

8040141 is an equidigital number, since it uses as much as digits as its factorization.

8040141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8040141 is about 2835.5142390755. The cubic root of 8040141 is about 200.3339504086. Note that the first 3 decimals are identical.

Adding to 8040141 its reverse (1410408), we get a palindrome (9450549).

The spelling of 8040141 in words is "eight million, forty thousand, one hundred forty-one".

Divisors: 1 3 9 27 41 81 123 243 269 369 729 807 1107 2421 3321 7263 9963 11029 21789 29889 33087 65367 99261 196101 297783 893349 2680047 8040141