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133280896 = 277197829
BaseRepresentation
bin1111111000110…
…11010010000000
3100021210101000111
413330123102000
5233104442041
621120401104
73205604020
oct774332200
9307711014
10133280896
1169262a01
1238776194
13217c6c48
14139b5a80
15ba7a981
hex7f1b480

133280896 has 64 divisors (see below), whose sum is σ = 319464000. Its totient is φ = 54107136.

The previous prime is 133280891. The next prime is 133280899. The reversal of 133280896 is 698082331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (133280891) 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 7 ways as a sum of consecutive naturals, for example, 13110 + ... + 20938.

It is an arithmetic number, because the mean of its divisors is an integer number (4991625).

Almost surely, 2133280896 is an apocalyptic number.

133280896 is a gapful number since it is divisible by the number (16) 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 133280896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159732000).

133280896 is an abundant number, since it is smaller than the sum of its proper divisors (186183104).

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

133280896 is an equidigital number, since it uses as much as digits as its factorization.

133280896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7857 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 133280896 is about 11544.7345573642. The cubic root of 133280896 is about 510.8059741090.

It can be divided in two parts, 1332 and 80896, that added together give a palindrome (82228).

The spelling of 133280896 in words is "one hundred thirty-three million, two hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 7829 8512 15658 17024 31316 54803 62632 109606 125264 148751 219212 250528 297502 438424 501056 595004 876848 1002112 1041257 1190008 1753696 2082514 2380016 3507392 4165028 4760032 7014784 8330056 9520064 16660112 19040128 33320224 66640448 133280896