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120134304 = 2532417133
BaseRepresentation
bin1110010100100…
…01101010100000
322101001110021200
413022101222200
5221223244204
615530521200
72656060533
oct712215240
9271043250
10120134304
11618a3754
1234296200
131bb730b4
1411d52a1a
15a830539
hex7291aa0

120134304 has 36 divisors (see below), whose sum is σ = 341632746. Its totient is φ = 40044672.

The previous prime is 120134293. The next prime is 120134309. The reversal of 120134304 is 403431021.

It can be written as a sum of positive squares in only one way, i.e., 109244304 + 10890000 = 10452^2 + 3300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120134309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208279 + ... + 208854.

Almost surely, 2120134304 is an apocalyptic number.

It is an amenable number.

120134304 is an abundant number, since it is smaller than the sum of its proper divisors (221498442).

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

120134304 is a wasteful number, since it uses less digits than its factorization.

120134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417149 (or 417138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120134304 is about 10960.5795467211. The cubic root of 120134304 is about 493.4263585635.

Adding to 120134304 its reverse (403431021), we get a palindrome (523565325).

The spelling of 120134304 in words is "one hundred twenty million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 417133 834266 1251399 1668532 2502798 3337064 3754197 5005596 6674128 7508394 10011192 13348256 15016788 20022384 30033576 40044768 60067152 120134304