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680676417 = 321377432
BaseRepresentation
bin101000100100100…
…100110001000001
31202102210221111200
4220210210301001
52343223121132
6151313131413
722603440231
oct5044446101
91672727450
10680676417
1131a2512a3
1216bb59b69
13ab034b15
1466587cc1
153eb56d7c
hex28924c41

680676417 has 18 divisors (see below), whose sum is σ = 991710642. Its totient is φ = 449865696.

The previous prime is 680676401. The next prime is 680676431. The reversal of 680676417 is 714676086.

It can be written as a sum of positive squares in only one way, i.e., 601181361 + 79495056 = 24519^2 + 8916^2 .

It is not a de Polignac number, because 680676417 - 24 = 680676401 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680672417) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 915748 + ... + 916490.

Almost surely, 2680676417 is an apocalyptic number.

It is an amenable number.

680676417 is a deficient number, since it is larger than the sum of its proper divisors (311034225).

680676417 is an equidigital number, since it uses as much as digits as its factorization.

680676417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 680676417 is about 26089.7761009940. The cubic root of 680676417 is about 879.6574152886.

The spelling of 680676417 in words is "six hundred eighty million, six hundred seventy-six thousand, four hundred seventeen".

Divisors: 1 3 9 137 411 743 1233 2229 6687 101791 305373 552049 916119 1656147 4968441 75630713 226892139 680676417