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116006144 = 282631723
BaseRepresentation
bin1101110101000…
…01110100000000
322002021201111212
412322201310000
5214144144034
615302225252
72606015222
oct672416400
9262251455
10116006144
115a534151
1232a25228
131b0590b7
141159a412
15a2b72ce
hex6ea1d00

116006144 has 36 divisors (see below), whose sum is σ = 232574496. Its totient is φ = 57748992.

The previous prime is 116006101. The next prime is 116006167. The reversal of 116006144 is 441600611.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 66467 + ... + 68189.

Almost surely, 2116006144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116287248).

116006144 is an abundant number, since it is smaller than the sum of its proper divisors (116568352).

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

116006144 is an equidigital number, since it uses as much as digits as its factorization.

116006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 116006144 is about 10770.6148385317. The cubic root of 116006144 is about 487.7085063811.

Adding to 116006144 its reverse (441600611), we get a palindrome (557606755).

The spelling of 116006144 in words is "one hundred sixteen million, six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 263 526 1052 1723 2104 3446 4208 6892 8416 13784 16832 27568 33664 55136 67328 110272 220544 441088 453149 906298 1812596 3625192 7250384 14500768 29001536 58003072 116006144