Search a number
-
+
128996208 = 243211313771
BaseRepresentation
bin1111011000001…
…01001101110000
322222201200112100
413230011031300
5231010334313
620444500400
73124310145
oct754051560
9288650470
10128996208
11668a6840
123724a700
1320956923
14131bc3cc
15b4d1173
hex7b05370

128996208 has 240 divisors, whose sum is σ = 423401472. Its totient is φ = 36288000.

The previous prime is 128996207. The next prime is 128996227. The reversal of 128996208 is 802699821.

128996208 is a `hidden beast` number, since 12 + 8 + 9 + 9 + 620 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128996201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816813 + ... + 1816883.

Almost surely, 2128996208 is an apocalyptic number.

128996208 is a gapful number since it is divisible by the number (18) 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 128996208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700736).

128996208 is an abundant number, since it is smaller than the sum of its proper divisors (294405264).

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

128996208 is a wasteful number, since it uses less digits than its factorization.

128996208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 128996208 is about 11357.6497568819. The cubic root of 128996208 is about 505.2724837369.

The spelling of 128996208 in words is "one hundred twenty-eight million, nine hundred ninety-six thousand, two hundred eight".