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814090753 = 7216614097
BaseRepresentation
bin110000100001100…
…000101000000001
32002201212002120101
4300201200220001
53131401401003
6212440442401
726113441300
oct6041405001
92081762511
10814090753
11388595483
121a8779401
13cc877708
147a196437
154b70c11d
hex30860a01

814090753 has 6 divisors (see below), whose sum is σ = 947003586. Its totient is φ = 697792032.

The previous prime is 814090733. The next prime is 814090763. The reversal of 814090753 is 357090418.

It can be written as a sum of positive squares in only one way, i.e., 662135824 + 151954929 = 25732^2 + 12327^2 .

It is not a de Polignac number, because 814090753 - 29 = 814090241 is a prime.

It is a super-3 number, since 3×8140907533 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814090733) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8307000 + ... + 8307097.

It is an arithmetic number, because the mean of its divisors is an integer number (157833931).

Almost surely, 2814090753 is an apocalyptic number.

It is an amenable number.

814090753 is a deficient number, since it is larger than the sum of its proper divisors (132912833).

814090753 is a wasteful number, since it uses less digits than its factorization.

814090753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16614111 (or 16614104 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 814090753 is about 28532.2756365489. The cubic root of 814090753 is about 933.7363669085.

The spelling of 814090753 in words is "eight hundred fourteen million, ninety thousand, seven hundred fifty-three".

Divisors: 1 7 49 16614097 116298679 814090753