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5840505 = 355111923
BaseRepresentation
bin10110010001111001111001
3101222201200000
4112101321321
52443344010
6325103213
7100433466
oct26217171
911881600
105840505
11332a070
121b57b09
131296528
14ac066d
157a57c0
hex591e79

5840505 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 2566080.

The previous prime is 5840489. The next prime is 5840507. The reversal of 5840505 is 5050485.

It is not a de Polignac number, because 5840505 - 24 = 5840489 is a prime.

It is a super-2 number, since 2×58405052 = 68222997310050, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5840507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253924 + ... + 253946.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 25840505 is an apocalyptic number.

5840505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5840505 is an abundant number, since it is smaller than the sum of its proper divisors (6739335).

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

5840505 is a wasteful number, since it uses less digits than its factorization.

5840505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5840505 is about 2416.7136777037. The cubic root of 5840505 is about 180.0874574997.

The spelling of 5840505 in words is "five million, eight hundred forty thousand, five hundred five".

Divisors: 1 3 5 9 11 15 19 23 27 33 45 55 57 69 81 95 99 115 135 165 171 207 209 243 253 285 297 345 405 437 495 513 621 627 759 855 891 1035 1045 1215 1265 1311 1485 1539 1863 1881 2185 2277 2565 2673 3105 3135 3795 3933 4455 4617 4807 5589 5643 6555 6831 7695 9315 9405 11385 11799 13365 14421 16929 19665 20493 23085 24035 27945 28215 34155 35397 43263 50787 58995 61479 72105 84645 102465 106191 129789 176985 216315 253935 307395 389367 530955 648945 1168101 1946835 5840505