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116474112 = 283441137
BaseRepresentation
bin1101111000101…
…00000100000000
322010011111110000
412330110010000
5214304132422
615320240000
72613004446
oct674240400
9263144400
10116474112
115a8237a7
1233010000
131b1910c1
141167cb96
15a35acac
hex6f14100

116474112 has 180 divisors, whose sum is σ = 358372476. Its totient is φ = 37601280.

The previous prime is 116474081. The next prime is 116474117. The reversal of 116474112 is 211474611.

116474112 is a `hidden beast` number, since 1 + 1 + 647 + 4 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 84934656 = 5616^2 + 9216^2 .

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

It is not an unprimeable number, because it can be changed into a prime (116474117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 850108 + ... + 850244.

Almost surely, 2116474112 is an apocalyptic number.

116474112 is a gapful number since it is divisible by the number (12) 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 116474112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179186238).

116474112 is an abundant number, since it is smaller than the sum of its proper divisors (241898364).

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

116474112 is an equidigital number, since it uses as much as digits as its factorization.

116474112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 116474112 is about 10792.3172673898. The cubic root of 116474112 is about 488.3634307870.

The spelling of 116474112 in words is "one hundred sixteen million, four hundred seventy-four thousand, one hundred twelve".