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116716600 = 235271121353
BaseRepresentation
bin1101111010011…
…11010000111000
322010121211002001
412331033100320
5214334412400
615325350344
72615034430
oct675172070
9263554061
10116716600
115a979a00
12331083b4
131b2475a0
14117032c0
15a3a7a6a
hex6f4f438

116716600 has 288 divisors, whose sum is σ = 374038560. Its totient is φ = 32947200.

The previous prime is 116716597. The next prime is 116716603. The reversal of 116716600 is 6617611.

It is an interprime number because it is at equal distance from previous prime (116716597) and next prime (116716603).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116716603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2202174 + ... + 2202226.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2116716600 is an apocalyptic number.

116716600 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 116716600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

116716600 is an abundant number, since it is smaller than the sum of its proper divisors (257321960).

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

116716600 is a wasteful number, since it uses less digits than its factorization.

116716600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 116716600 is about 10803.5457142551. The cubic root of 116716600 is about 488.7021045724.

It can be divided in two parts, 1167 and 16600, that multiplied together give a triangular number (19372200 = T6224).

The spelling of 116716600 in words is "one hundred sixteen million, seven hundred sixteen thousand, six hundred".