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5410405 = 5711132347
BaseRepresentation
bin10100101000111001100101
3101011212200101
4110220321211
52341113110
6311544101
763662530
oct24507145
911155611
105410405
113065a10
12198b031
131175830
14a0ba17
1571d13a
hex528e65

5410405 has 64 divisors (see below), whose sum is σ = 9289728. Its totient is φ = 2914560.

The previous prime is 5410393. The next prime is 5410409. The reversal of 5410405 is 5040145.

5410405 is a nontrivial binomial coefficient, being equal to C(3290, 2).

It is not a de Polignac number, because 5410405 - 25 = 5410373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5410409) 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 63 ways as a sum of consecutive naturals, for example, 115092 + ... + 115138.

It is an arithmetic number, because the mean of its divisors is an integer number (145152).

Almost surely, 25410405 is an apocalyptic number.

5410405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5410405 is the 3289-th triangular number and also the 1645-th hexagonal number.

5410405 is the 1097-th centered nonagonal number.

It is an amenable number.

5410405 is a deficient number, since it is larger than the sum of its proper divisors (3879323).

5410405 is a wasteful number, since it uses less digits than its factorization.

5410405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 5410405 is about 2326.0277298433. The cubic root of 5410405 is about 175.5536749756.

The spelling of 5410405 in words is "five million, four hundred ten thousand, four hundred five".

Divisors: 1 5 7 11 13 23 35 47 55 65 77 91 115 143 161 235 253 299 329 385 455 517 611 715 805 1001 1081 1265 1495 1645 1771 2093 2585 3055 3289 3619 4277 5005 5405 6721 7567 8855 10465 11891 14053 16445 18095 21385 23023 33605 37835 47047 59455 70265 83237 98371 115115 154583 235235 416185 491855 772915 1082081 5410405