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2105411532 = 223783311971
BaseRepresentation
bin111110101111110…
…0000011111001100
312102201200222122220
41331133200133030
513302441132112
6544530135340
7103113463020
oct17537403714
95381628586
102105411532
119904a4934
124a9121550
13277264053
1415d898380
15c4c8598c
hex7d7e07cc

2105411532 has 96 divisors (see below), whose sum is σ = 5706215424. Its totient is φ = 591777600.

The previous prime is 2105411507. The next prime is 2105411579. The reversal of 2105411532 is 2351145012.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2167807 + ... + 2168777.

It is an arithmetic number, because the mean of its divisors is an integer number (59439744).

Almost surely, 22105411532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105411532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853107712).

2105411532 is an abundant number, since it is smaller than the sum of its proper divisors (3600803892).

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

2105411532 is a wasteful number, since it uses less digits than its factorization.

2105411532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2105411532 is about 45884.7636149518. The cubic root of 2105411532 is about 1281.6782048354.

Adding to 2105411532 its reverse (2351145012), we get a palindrome (4456556544).

The spelling of 2105411532 in words is "two billion, one hundred five million, four hundred eleven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 311 332 498 581 622 933 971 996 1162 1244 1743 1866 1942 2177 2324 2913 3486 3732 3884 4354 5826 6531 6797 6972 8708 11652 13062 13594 20391 25813 26124 27188 40782 51626 77439 80593 81564 103252 154878 161186 180691 241779 301981 309756 322372 361382 483558 542073 564151 603962 722764 905943 967116 1084146 1128302 1207924 1692453 1811886 2113867 2168292 2256604 3384906 3623772 4227734 6341601 6769812 8455468 12683202 25064423 25366404 50128846 75193269 100257692 150386538 175450961 300773076 350901922 526352883 701803844 1052705766 2105411532