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1005030825 = 352122310957
BaseRepresentation
bin111011111001111…
…000110110101001
32121001010212002220
4323321320312221
54024241441300
6243421144253
733622423011
oct7371706651
92531125086
101005030825
1147634a597
122406bb089
131302abcc6
149769ac41
155d376da0
hex3be78da9

1005030825 has 24 divisors (see below), whose sum is σ = 1663161408. Its totient is φ = 535529280.

The previous prime is 1005030823. The next prime is 1005030841. The reversal of 1005030825 is 5280305001.

It is not a de Polignac number, because 1005030825 - 21 = 1005030823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005030795 and 1005030804.

It is not an unprimeable number, because it can be changed into a prime (1005030823) 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 23 ways as a sum of consecutive naturals, for example, 86247 + ... + 97203.

It is an arithmetic number, because the mean of its divisors is an integer number (69298392).

Almost surely, 21005030825 is an apocalyptic number.

1005030825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005030825 is a deficient number, since it is larger than the sum of its proper divisors (658130583).

1005030825 is a wasteful number, since it uses less digits than its factorization.

1005030825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12193 (or 12188 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1005030825 is about 31702.2211366964. The cubic root of 1005030825 is about 1001.6741373667.

Adding to 1005030825 its reverse (5280305001), we get a palindrome (6285335826).

The spelling of 1005030825 in words is "one billion, five million, thirty thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 1223 3669 6115 10957 18345 30575 32871 54785 91725 164355 273925 821775 13400411 40201233 67002055 201006165 335010275 1005030825