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116084224 = 291911933
BaseRepresentation
bin1101110101101…
…00111000000000
322002102200121201
412322310320000
5214204143344
615304030544
72606461654
oct672647000
9262380551
10116084224
115a587883
1232a62454
131b0857b9
14115baa64
15a2d04d4
hex6eb4e00

116084224 has 40 divisors (see below), whose sum is σ = 244169640. Its totient is φ = 54982656.

The previous prime is 116084203. The next prime is 116084239. The reversal of 116084224 is 422480611.

It is a junction number, because it is equal to n+sod(n) for n = 116084192 and 116084201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3762 + ... + 15694.

It is an arithmetic number, because the mean of its divisors is an integer number (6104241).

Almost surely, 2116084224 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 116084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122084820).

116084224 is an abundant number, since it is smaller than the sum of its proper divisors (128085416).

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

116084224 is an equidigital number, since it uses as much as digits as its factorization.

116084224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11970 (or 11954 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 116084224 is about 10774.2389058346. The cubic root of 116084224 is about 487.8179021381.

The spelling of 116084224 in words is "one hundred sixteen million, eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 11933 23866 47732 95464 190928 226727 381856 453454 763712 906908 1527424 1813816 3054848 3627632 6109696 7255264 14510528 29021056 58042112 116084224