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130722048 = 283256737
BaseRepresentation
bin1111100101010…
…10100100000000
3100002222100221100
413302222210000
5231431101143
620545454400
73145055562
oct762524400
9302870840
10130722048
1167875456
1237941400
132110c332
141350b332
15b7226d3
hex7caa900

130722048 has 54 divisors (see below), whose sum is σ = 376910534. Its totient is φ = 43573248.

The previous prime is 130722047. The next prime is 130722077. The reversal of 130722048 is 840227031.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 15116544 = 10752^2 + 3888^2 .

It is not an unprimeable number, because it can be changed into a prime (130722047) 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, 26065 + ... + 30672.

Almost surely, 2130722048 is an apocalyptic number.

130722048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130722048 is an abundant number, since it is smaller than the sum of its proper divisors (246188486).

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

130722048 is an equidigital number, since it uses as much as digits as its factorization.

130722048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56759 (or 56742 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 130722048 is about 11433.3743050772. The cubic root of 130722048 is about 507.5158551025.

Adding to 130722048 its reverse (840227031), we get a palindrome (970949079).

The spelling of 130722048 in words is "one hundred thirty million, seven hundred twenty-two thousand, forty-eight".

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 56737 113474 170211 226948 340422 453896 510633 680844 907792 1021266 1361688 1815584 2042532 2723376 3631168 4085064 5446752 7262336 8170128 10893504 14524672 16340256 21787008 32680512 43574016 65361024 130722048