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116134200 = 233252713709
BaseRepresentation
bin1101110110000…
…01000100111000
322002112020011200
412323001010320
5214212243300
615305054200
72610060450
oct673010470
9262466150
10116134200
115a611386
1232a87360
131b0a2480
14115d0d60
15a2e0200
hex6ec1138

116134200 has 288 divisors, whose sum is σ = 480698400. Its totient is φ = 24468480.

The previous prime is 116134171. The next prime is 116134201. The reversal of 116134200 is 2431611.

It is a happy number.

116134200 is a `hidden beast` number, since 11 + 613 + 42 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116134201) 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, 163446 + ... + 164154.

Almost surely, 2116134200 is an apocalyptic number.

116134200 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 116134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240349200).

116134200 is an abundant number, since it is smaller than the sum of its proper divisors (364564200).

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

116134200 is a wasteful number, since it uses less digits than its factorization.

116134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116134200 is about 10776.5578920173. The cubic root of 116134200 is about 487.8878964030.

Adding to 116134200 its reverse (2431611), we get a palindrome (118565811).

The spelling of 116134200 in words is "one hundred sixteen million, one hundred thirty-four thousand, two hundred".