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116784128 = 210591933
BaseRepresentation
bin1101111010111…
…11110000000000
322010202020201002
412331133300000
5214344043003
615331031132
72615435336
oct675376000
9263666632
10116784128
115aa1570a
123313b4a8
131b26c246
141171db56
15a3bca88
hex6f5fc00

116784128 has 44 divisors (see below), whose sum is σ = 237533880. Its totient is φ = 57372672.

The previous prime is 116784119. The next prime is 116784167. The reversal of 116784128 is 821487611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 116784091 and 116784100.

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, 59450 + ... + 61382.

Almost surely, 2116784128 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 116784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118766940).

116784128 is an abundant number, since it is smaller than the sum of its proper divisors (120749752).

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

116784128 is an equidigital number, since it uses as much as digits as its factorization.

116784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1994 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The square root of 116784128 is about 10806.6705325924. The cubic root of 116784128 is about 488.7963348514.

The spelling of 116784128 in words is "one hundred sixteen million, seven hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1024 1888 1933 3776 3866 7552 7732 15104 15464 30208 30928 60416 61856 114047 123712 228094 247424 456188 494848 912376 989696 1824752 1979392 3649504 7299008 14598016 29196032 58392064 116784128