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1007280317 = 5319398473
BaseRepresentation
bin111100000010011…
…110000010111101
32121012101010211102
4330002132002331
54030330432232
6243541302445
733650512211
oct7402360275
92535333742
101007280317
1147764667a
12241404a25
131308b8b74
1497ac4941
155d66d662
hex3c09e0bd

1007280317 has 8 divisors (see below), whose sum is σ = 1031613624. Its totient is φ = 983144448.

The previous prime is 1007280283. The next prime is 1007280343. The reversal of 1007280317 is 7130827001.

1007280317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15912121 + 991368196 = 3989^2 + 31486^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1007280317 is a prime.

It is a super-2 number, since 2×10072803172 = 2029227274031240978, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1007280317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007280367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39008 + ... + 59465.

It is an arithmetic number, because the mean of its divisors is an integer number (128951703).

Almost surely, 21007280317 is an apocalyptic number.

It is an amenable number.

1007280317 is a deficient number, since it is larger than the sum of its proper divisors (24333307).

1007280317 is an equidigital number, since it uses as much as digits as its factorization.

1007280317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98719.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 1007280317 is about 31737.6797671159. The cubic root of 1007280317 is about 1002.4209068141.

The spelling of 1007280317 in words is "one billion, seven million, two hundred eighty thousand, three hundred seventeen".

Divisors: 1 53 193 10229 98473 5219069 19005289 1007280317