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680470431 = 31012718287
BaseRepresentation
bin101000100011110…
…010011110011111
31202102102110221120
4220203302132133
52343200023211
6151304502023
722601621544
oct5043623637
91672373846
10680470431
1131a120563
1216ba7a913
13aac92134
1466532bcb
153eb15d06
hex288f279f

680470431 has 16 divisors (see below), whose sum is σ = 919769088. Its totient is φ = 447444000.

The previous prime is 680470411. The next prime is 680470463. The reversal of 680470431 is 134074086.

It is a de Polignac number, because none of the positive numbers 2k-680470431 is a prime.

It is a super-2 number, since 2×6804704312 = 926080014930651522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 680470392 and 680470401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680470411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77970 + ... + 86256.

It is an arithmetic number, because the mean of its divisors is an integer number (57485568).

Almost surely, 2680470431 is an apocalyptic number.

680470431 is a deficient number, since it is larger than the sum of its proper divisors (239298657).

680470431 is a wasteful number, since it uses less digits than its factorization.

680470431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 680470431 is about 26085.8281639667. The cubic root of 680470431 is about 879.5686724886.

The spelling of 680470431 in words is "six hundred eighty million, four hundred seventy thousand, four hundred thirty-one".

Divisors: 1 3 101 271 303 813 8287 24861 27371 82113 836987 2245777 2510961 6737331 226823477 680470431