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116446680 = 23335773211
BaseRepresentation
bin1101111000011…
…01010111011000
322010010002211000
412330031113120
5214302243210
615315505000
72612531460
oct674152730
9263102730
10116446680
115a805129
1232bb8160
131b18177c
1411672ba0
15a352ac0
hex6f0d5d8

116446680 has 256 divisors, whose sum is σ = 451814400. Its totient is φ = 26127360.

The previous prime is 116446679. The next prime is 116446699. The reversal of 116446680 is 86644611.

116446680 is a `hidden beast` number, since 1 + 1 + 644 + 6 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551775 + ... + 551985.

It is an arithmetic number, because the mean of its divisors is an integer number (1764900).

Almost surely, 2116446680 is an apocalyptic number.

116446680 is a gapful number since it is divisible by the number (10) 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 116446680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225907200).

116446680 is an abundant number, since it is smaller than the sum of its proper divisors (335367720).

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

116446680 is a wasteful number, since it uses less digits than its factorization.

116446680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 116446680 is about 10791.0462884745. The cubic root of 116446680 is about 488.3250879677.

The spelling of 116446680 in words is "one hundred sixteen million, four hundred forty-six thousand, six hundred eighty".