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680427621 = 3453353449
BaseRepresentation
bin101000100011101…
…000000001100101
31202102100022020000
4220203220001211
52343142140441
6151303531513
722601352666
oct5043500145
91672308200
10680427621
1131a0a1385
1216ba59b99
13aac787c3
146652136d
153eb082b6
hex288e8065

680427621 has 40 divisors (see below), whose sum is σ = 1040866200. Its totient is φ = 442810368.

The previous prime is 680427557. The next prime is 680427623. The reversal of 680427621 is 126724086.

680427621 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 27 + 621 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165636900 + 514790721 = 12870^2 + 22689^2 .

It is not a de Polignac number, because 680427621 - 26 = 680427557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680427623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1515205 + ... + 1515653.

It is an arithmetic number, because the mean of its divisors is an integer number (26021655).

Almost surely, 2680427621 is an apocalyptic number.

It is an amenable number.

680427621 is a deficient number, since it is larger than the sum of its proper divisors (360438579).

680427621 is a wasteful number, since it uses less digits than its factorization.

680427621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 680427621 is about 26085.0075905682. The cubic root of 680427621 is about 879.5502268551.

The spelling of 680427621 in words is "six hundred eighty million, four hundred twenty-seven thousand, six hundred twenty-one".

Divisors: 1 3 9 27 53 81 159 353 449 477 1059 1347 1431 3177 4041 4293 9531 12123 18709 23797 28593 36369 56127 71391 158497 168381 214173 475491 505143 642519 1426473 1515429 1927557 4279419 8400341 12838257 25201023 75603069 226809207 680427621