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116046000 = 2433537307
BaseRepresentation
bin1101110101010…
…11100010110000
322002100202012000
412322223202300
5214201433000
615303134000
72606242350
oct672534260
9262322160
10116046000
115a561094
1232a44300
131b071295
14115aab60
15a2c4000
hex6eab8b0

116046000 has 320 divisors, whose sum is σ = 476636160. Its totient is φ = 26438400.

The previous prime is 116045981. The next prime is 116046001. The reversal of 116046000 is 640611.

116046000 is a `hidden beast` number, since 1 + 1 + 60 + 4 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116046001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377847 + ... + 378153.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2116046000 is an apocalyptic number.

116046000 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 116046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238318080).

116046000 is an abundant number, since it is smaller than the sum of its proper divisors (360590160).

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

116046000 is a wasteful number, since it uses less digits than its factorization.

116046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

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

The square root of 116046000 is about 10772.4648989913. The cubic root of 116046000 is about 487.7643536661.

Adding to 116046000 its reverse (640611), we get a palindrome (116686611).

The spelling of 116046000 in words is "one hundred sixteen million, forty-six thousand".