Search a number
-
+
2105444502 = 23473675059
BaseRepresentation
bin111110101111110…
…1000100010010110
312102201202122220000
41331133220202112
513302443211002
6544530552130
7103113661110
oct17537504226
95381678800
102105444502
11990517687
124a9138646
13277276065
1415d8a63b0
15c4c9061c
hex7d7e8896

2105444502 has 80 divisors (see below), whose sum is σ = 5407480320. Its totient is φ = 599797872.

The previous prime is 2105444501. The next prime is 2105444507. The reversal of 2105444502 is 2054445012.

2105444502 is a `hidden beast` number, since 210 + 5 + 4 + 445 + 0 + 2 = 666.

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 (2105444501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 413649 + ... + 418707.

It is an arithmetic number, because the mean of its divisors is an integer number (67593504).

Almost surely, 22105444502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105444502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703740160).

2105444502 is an abundant number, since it is smaller than the sum of its proper divisors (3302035818).

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

2105444502 is a wasteful number, since it uses less digits than its factorization.

2105444502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2105444502 is about 45885.1228831306. The cubic root of 2105444502 is about 1281.6848950096.

Adding to 2105444502 its reverse (2054445012), we get a palindrome (4159889514).

It can be divided in two parts, 21054 and 44502, that added together give a palindrome (65556).

The spelling of 2105444502 in words is "two billion, one hundred five million, four hundred forty-four thousand, five hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 367 378 567 734 1101 1134 2202 2569 3303 5059 5138 6606 7707 9909 10118 15177 15414 19818 23121 29727 30354 35413 45531 46242 59454 69363 70826 91062 106239 136593 138726 208089 212478 273186 318717 409779 416178 637434 819558 956151 1856653 1912302 2868453 3713306 5569959 5736906 11139918 12996571 16709877 25993142 33419754 38989713 50129631 77979426 100259262 116969139 150388893 233938278 300777786 350907417 701814834 1052722251 2105444502