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1000140625 = 56112232
BaseRepresentation
bin111011100111001…
…110111101010001
32120200221102000101
4323213032331101
54022014000000
6243124252401
733533024611
oct7347167521
92520842011
101000140625
1147360a500
1223ab41101
1312c2891b3
1496b86a41
155cc0ce6a
hex3b9cef51

1000140625 has 63 divisors (see below), whose sum is σ = 1436485519. Its totient is φ = 695750000.

The previous prime is 1000140623. The next prime is 1000140643. The reversal of 1000140625 is 5260410001.

The square root of 1000140625 is 31625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 876219201 + 123921424 = 29601^2 + 11132^2 .

It is not a de Polignac number, because 1000140625 - 21 = 1000140623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000140623) 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 62 ways as a sum of consecutive naturals, for example, 43484364 + ... + 43484386.

Almost surely, 21000140625 is an apocalyptic number.

1000140625 is the 31625-th square number.

1000140625 is the 15813-rd centered octagonal number.

It is an amenable number.

1000140625 is a deficient number, since it is larger than the sum of its proper divisors (436344894).

1000140625 is an frugal number, since it uses more digits than its factorization.

1000140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The cubic root of 1000140625 is about 1000.0468728029.

Adding to 1000140625 its reverse (5260410001), we get a palindrome (6260550626).

The spelling of 1000140625 in words is "one billion, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 11 23 25 55 115 121 125 253 275 529 575 605 625 1265 1375 2645 2783 2875 3025 3125 5819 6325 6875 13225 13915 14375 15125 15625 29095 31625 34375 64009 66125 69575 71875 75625 145475 158125 171875 320045 330625 347875 359375 378125 727375 790625 1600225 1653125 1739375 1890625 3636875 3953125 8001125 8265625 8696875 18184375 40005625 43484375 90921875 200028125 1000140625