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1730144025 = 3252472592
BaseRepresentation
bin110011100011111…
…1110011100011001
311110120120102102100
41213013332130121
512020404102100
6443402554013
760605660451
oct14707763431
94416512370
101730144025
118086918a5
12403508909
132175a1c7c
14125ad0d61
15a1d5a400
hex671fe719

1730144025 has 81 divisors (see below), whose sum is σ = 3220790911. Its totient is φ = 887803680.

The previous prime is 1730143991. The next prime is 1730144027. The reversal of 1730144025 is 5204410371.

The square root of 1730144025 is 41595.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 622851849 + 1107292176 = 24957^2 + 33276^2 .

It is not a de Polignac number, because 1730144025 - 27 = 1730143897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1730144025.

It is not an unprimeable number, because it can be changed into a prime (1730144027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29324446 + ... + 29324504.

Almost surely, 21730144025 is an apocalyptic number.

1730144025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1730144025 is the 41595-th square number.

1730144025 is the 20798-th centered octagonal number.

It is an amenable number.

1730144025 is a deficient number, since it is larger than the sum of its proper divisors (1490646886).

1730144025 is an equidigital number, since it uses as much as digits as its factorization.

1730144025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 1730144025 is about 1200.4960969616.

Adding to 1730144025 its reverse (5204410371), we get a palindrome (6934554396).

The spelling of 1730144025 in words is "one billion, seven hundred thirty million, one hundred forty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 47 59 75 141 177 225 235 295 423 531 705 885 1175 1475 2115 2209 2655 2773 3481 3525 4425 6627 8319 10443 10575 11045 13275 13865 17405 19881 24957 31329 33135 41595 52215 55225 69325 87025 99405 124785 130331 156645 163607 165675 207975 261075 390993 490821 497025 623925 651655 783225 818035 1172979 1472463 1954965 2454105 3258275 4090175 5864895 7362315 7689529 9774825 12270525 23068587 29324475 36811575 38447645 69205761 115342935 192238225 346028805 576714675 1730144025