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5781105 = 3351117229
BaseRepresentation
bin10110000011011001110001
3101212201012000
4112003121301
52434443410
6323524213
7100065351
oct26033161
911781160
105781105
113299480
121b29669
131275495
14aa6b61
15792dc0
hex583671

5781105 has 64 divisors (see below), whose sum is σ = 11923200. Its totient is φ = 2626560.

The previous prime is 5781101. The next prime is 5781107. The reversal of 5781105 is 5011875.

It is not a de Polignac number, because 5781105 - 22 = 5781101 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5781101) 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, 25131 + ... + 25359.

It is an arithmetic number, because the mean of its divisors is an integer number (186300).

Almost surely, 25781105 is an apocalyptic number.

5781105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5781105 is an abundant number, since it is smaller than the sum of its proper divisors (6142095).

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

5781105 is a wasteful number, since it uses less digits than its factorization.

5781105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 5781105 is about 2404.3928547556. The cubic root of 5781105 is about 179.4748583021.

It can be divided in two parts, 5781 and 105, that added together give a triangular number (5886 = T108).

The spelling of 5781105 in words is "five million, seven hundred eighty-one thousand, one hundred five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 153 165 187 229 255 297 459 495 561 687 765 935 1145 1485 1683 2061 2295 2519 2805 3435 3893 5049 6183 7557 8415 10305 11679 12595 19465 22671 25245 30915 35037 37785 42823 58395 68013 105111 113355 128469 175185 214115 340065 385407 525555 642345 1156221 1927035 5781105