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2106462112 = 251734711159
BaseRepresentation
bin111110110001110…
…0000111110100000
312102210200100210021
41331203200332200
513303223241422
6545004443224
7103125426646
oct17543407640
95383610707
102106462112
11991052187
124a9549514
132775412b1
1415da8d196
15c4de1dc7
hex7d8e0fa0

2106462112 has 48 divisors (see below), whose sum is σ = 4404093120. Its totient is φ = 988331008.

The previous prime is 2106462109. The next prime is 2106462119. The reversal of 2106462112 is 2112646012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2106462119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183189 + ... + 194347.

It is an arithmetic number, because the mean of its divisors is an integer number (91751940).

Almost surely, 22106462112 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 2106462112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202046560).

2106462112 is an abundant number, since it is smaller than the sum of its proper divisors (2297631008).

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

2106462112 is a wasteful number, since it uses less digits than its factorization.

2106462112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11533 (or 11525 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2106462112 is about 45896.2102139164. The cubic root of 2106462112 is about 1281.8913510645.

The spelling of 2106462112 in words is "two billion, one hundred six million, four hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 347 544 694 1388 2776 5552 5899 11104 11159 11798 22318 23596 44636 47192 89272 94384 178544 188768 189703 357088 379406 758812 1517624 3035248 3872173 6070496 7744346 15488692 30977384 61954768 65826941 123909536 131653882 263307764 526615528 1053231056 2106462112