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133096304 = 24116711287
BaseRepresentation
bin1111110111011…
…10001101110000
3100021102222210202
413323232031300
5233033040204
621112414332
73204204605
oct773561560
9307388722
10133096304
1169147250
12386a73a8
1321760c13
14139686ac
15ba40e1e
hex7eee370

133096304 has 40 divisors (see below), whose sum is σ = 285541248. Its totient is φ = 59590080.

The previous prime is 133096297. The next prime is 133096343. The reversal of 133096304 is 403690331.

It is a super-2 number, since 2×1330963042 = 35429252276920832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6149 + ... + 17435.

Almost surely, 2133096304 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 133096304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142770624).

133096304 is an abundant number, since it is smaller than the sum of its proper divisors (152444944).

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

133096304 is a wasteful number, since it uses less digits than its factorization.

133096304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11373 (or 11367 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 133096304 is about 11536.7371470447. The cubic root of 133096304 is about 510.5700456723.

The spelling of 133096304 in words is "one hundred thirty-three million, ninety-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1474 2948 5896 11287 11792 22574 45148 90296 124157 180592 248314 496628 756229 993256 1512458 1986512 3024916 6049832 8318519 12099664 16637038 33274076 66548152 133096304