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135680256 = 283258889
BaseRepresentation
bin10000001011001…
…01000100000000
3100110022021022200
420011211010000
5234213232011
621244033200
73235156155
oct1005450400
9313267280
10135680256
116a651648
1239532800
132215709a
141403c22c
15bda1856
hex8165100

135680256 has 54 divisors (see below), whose sum is σ = 391206270. Its totient is φ = 45225984.

The previous prime is 135680249. The next prime is 135680261. The reversal of 135680256 is 652086531.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 36000000 = 9984^2 + 6000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135680256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27141 + ... + 31748.

Almost surely, 2135680256 is an apocalyptic number.

135680256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135680256 is an abundant number, since it is smaller than the sum of its proper divisors (255526014).

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

135680256 is an equidigital number, since it uses as much as digits as its factorization.

135680256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58911 (or 58894 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 135680256 is about 11648.1868116888. The cubic root of 135680256 is about 513.8529862626.

The spelling of 135680256 in words is "one hundred thirty-five million, six hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 58889 117778 176667 235556 353334 471112 530001 706668 942224 1060002 1413336 1884448 2120004 2826672 3768896 4240008 5653344 7537792 8480016 11306688 15075584 16960032 22613376 33920064 45226752 67840128 135680256