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2105464368 = 243738316361
BaseRepresentation
bin111110101111110…
…1101011000110000
312102201210200010210
41331133231120300
513302444324433
6544531224120
7103114103040
oct17537553060
95381720123
102105464368
119905305a7
124a9148040
13277282107
1415d8ad720
15c4c96463
hex7d7ed630

2105464368 has 80 divisors (see below), whose sum is σ = 6232743936. Its totient is φ = 599953920.

The previous prime is 2105464327. The next prime is 2105464369. The reversal of 2105464368 is 8634645012.

It is not an unprimeable number, because it can be changed into a prime (2105464369) 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 15 ways as a sum of consecutive naturals, for example, 120508 + ... + 136868.

Almost surely, 22105464368 is an apocalyptic number.

2105464368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105464368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116371968).

2105464368 is an abundant number, since it is smaller than the sum of its proper divisors (4127279568).

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

2105464368 is a wasteful number, since it uses less digits than its factorization.

2105464368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16762 (or 16756 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2105464368 is about 45885.3393580128. The cubic root of 2105464368 is about 1281.6889261255.

The spelling of 2105464368 in words is "two billion, one hundred five million, four hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 383 766 1149 1532 2298 2681 3064 4596 5362 6128 8043 9192 10724 16086 16361 18384 21448 32172 32722 42896 49083 64344 65444 98166 114527 128688 130888 196332 229054 261776 343581 392664 458108 687162 785328 916216 1374324 1832432 2748648 5497296 6266263 12532526 18798789 25065052 37597578 43863841 50130104 75195156 87727682 100260208 131591523 150390312 175455364 263183046 300780624 350910728 526366092 701821456 1052732184 2105464368