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116212806 = 2371632
BaseRepresentation
bin1101110110101…
…00010001000110
322002200020000000
412323110101012
5214222302211
615310502130
72610535563
oct673242106
9262606000
10116212806
115a665446
1232b04946
131b0cc198
141161186a
15a308656
hex6ed4446

116212806 has 48 divisors (see below), whose sum is σ = 263052720. Its totient is φ = 38499948.

The previous prime is 116212801. The next prime is 116212823. The reversal of 116212806 is 608212611.

116212806 is a `hidden beast` number, since 11 + 621 + 28 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 116212806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116212801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712881 + ... + 713043.

It is an arithmetic number, because the mean of its divisors is an integer number (5480265).

Almost surely, 2116212806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116212806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131526360).

116212806 is an abundant number, since it is smaller than the sum of its proper divisors (146839914).

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

116212806 is an frugal number, since it uses more digits than its factorization.

116212806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116212806 is about 10780.2043579888. The cubic root of 116212806 is about 487.9979480116.

The spelling of 116212806 in words is "one hundred sixteen million, two hundred twelve thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 243 326 486 489 729 978 1458 1467 2187 2934 4374 4401 8802 13203 26406 26569 39609 53138 79218 79707 118827 159414 237654 239121 356481 478242 712962 717363 1434726 2152089 4304178 6456267 12912534 19368801 38737602 58106403 116212806