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2105133462 = 234198272
BaseRepresentation
bin111110101111001…
…1100100110010110
312102201011212020000
41331132130212112
513302403232322
6544520152130
7103111224225
oct17536344626
95381155200
102105133462
11990324a23
124a9008646
13277197603
1415d824cbc
15c4c2d3ac
hex7d79c996

2105133462 has 60 divisors (see below), whose sum is σ = 4971335820. Its totient is φ = 663975144.

The previous prime is 2105133439. The next prime is 2105133469. The reversal of 2105133462 is 2643315012.

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 (2105133469) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 2545093 + ... + 2545919.

It is an arithmetic number, because the mean of its divisors is an integer number (82855597).

Almost surely, 22105133462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105133462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485667910).

2105133462 is an abundant number, since it is smaller than the sum of its proper divisors (2866202358).

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

2105133462 is an frugal number, since it uses more digits than its factorization.

2105133462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 851 counting only the distinct ones).

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

The square root of 2105133462 is about 45881.7334240981. The cubic root of 2105133462 is about 1281.6217769203.

Adding to 2105133462 its reverse (2643315012), we get a palindrome (4748448474).

The spelling of 2105133462 in words is "two billion, one hundred five million, one hundred thirty-three thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 827 1026 1539 1654 2481 3078 4962 7443 14886 15713 22329 31426 44658 47139 66987 94278 133974 141417 282834 424251 683929 848502 1272753 1367858 2051787 2545506 4103574 6155361 12310722 12994651 18466083 25989302 36932166 38983953 55398249 77967906 110796498 116951859 233903718 350855577 701711154 1052566731 2105133462