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116466336 = 253473131
BaseRepresentation
bin1101111000100…
…10001010100000
322010011002210000
412330102022200
5214303410321
615320140000
72612643000
oct674221240
9263132700
10116466336
115a818978
1233007600
131b18a6bc
141167a000
15a358826
hex6f122a0

116466336 has 240 divisors, whose sum is σ = 402494400. Its totient is φ = 33022080.

The previous prime is 116466331. The next prime is 116466367. The reversal of 116466336 is 633664611.

116466336 is a `hidden beast` number, since 1 + 1 + 646 + 6 + 3 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116466336.

It is not an unprimeable number, because it can be changed into a prime (116466331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 888991 + ... + 889121.

It is an arithmetic number, because the mean of its divisors is an integer number (1677060).

Almost surely, 2116466336 is an apocalyptic number.

116466336 is a gapful number since it is divisible by the number (16) 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 116466336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201247200).

116466336 is an abundant number, since it is smaller than the sum of its proper divisors (286028064).

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

116466336 is an equidigital number, since it uses as much as digits as its factorization.

116466336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 116466336 is about 10791.9570051034. The cubic root of 116466336 is about 488.3525625678.

The spelling of 116466336 in words is "one hundred sixteen million, four hundred sixty-six thousand, three hundred thirty-six".