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1641330405 = 335111385021
BaseRepresentation
bin110000111010100…
…1011011011100101
311020101110020001000
41201311023123211
511330140033110
6430511223513
755450035561
oct14165133345
94211406030
101641330405
11772540910
12399817b99
13202077030
14117db26a1
15991651c0
hex61d4b6e5

1641330405 has 64 divisors (see below), whose sum is σ = 3428087040. Its totient is φ = 734572800.

The previous prime is 1641330403. The next prime is 1641330419. The reversal of 1641330405 is 5040331461.

It is not a de Polignac number, because 1641330405 - 21 = 1641330403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641330401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23206 + ... + 61815.

It is an arithmetic number, because the mean of its divisors is an integer number (53563860).

Almost surely, 21641330405 is an apocalyptic number.

1641330405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1641330405 is an abundant number, since it is smaller than the sum of its proper divisors (1786756635).

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

1641330405 is a wasteful number, since it uses less digits than its factorization.

1641330405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85059 (or 85053 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1641330405 is about 40513.3361376226. The cubic root of 1641330405 is about 1179.5925062833.

Adding to 1641330405 its reverse (5040331461), we get a palindrome (6681661866).

The spelling of 1641330405 in words is "one billion, six hundred forty-one million, three hundred thirty thousand, four hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 585 715 1287 1485 1755 2145 3861 6435 19305 85021 255063 425105 765189 935231 1105273 1275315 2295567 2805693 3315819 3825945 4676155 5526365 8417079 9947457 11477835 12158003 14028465 16579095 25251237 29842371 36474009 42085395 49737285 60790015 109422027 126256185 149211855 182370045 328266081 547110135 1641330405