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130642128 = 2432907237
BaseRepresentation
bin1111100100101…
…11000011010000
3100002211022022100
413302113003100
5231421022003
620544040400
73144303561
oct762270320
9302738270
10130642128
1167820401
1237903100
13210b1b46
14134ca168
15b708ba3
hex7c970d0

130642128 has 30 divisors (see below), whose sum is σ = 365616914. Its totient is φ = 43547328.

The previous prime is 130642117. The next prime is 130642147. The reversal of 130642128 is 821246031.

130642128 is a `hidden beast` number, since 1 + 3 + 0 + 642 + 12 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128867904 + 1774224 = 11352^2 + 1332^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 453475 + ... + 453762.

Almost surely, 2130642128 is an apocalyptic number.

130642128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130642128 is an abundant number, since it is smaller than the sum of its proper divisors (234974786).

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

130642128 is a wasteful number, since it uses less digits than its factorization.

130642128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907251 (or 907242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 130642128 is about 11429.8787395143. The cubic root of 130642128 is about 507.4124067644.

Adding to 130642128 its reverse (821246031), we get a palindrome (951888159).

It can be divided in two parts, 1306421 and 28, that added together give a square (1306449 = 11432).

The spelling of 130642128 in words is "one hundred thirty million, six hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 907237 1814474 2721711 3628948 5443422 7257896 8165133 10886844 14515792 16330266 21773688 32660532 43547376 65321064 130642128