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681297000 = 233532941191
BaseRepresentation
bin101000100110111…
…100010001101000
31202110222110210020
4220212330101220
52343403001000
6151334320440
722611633426
oct5046742150
91673873706
10681297000
1131a63557a
121701b9120
13ab1c1427
14666aa116
153ec2aba0
hex289bc468

681297000 has 256 divisors, whose sum is σ = 2264371200. Its totient is φ = 170240000.

The previous prime is 681296939. The next prime is 681297011. The reversal of 681297000 is 792186.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3566905 + ... + 3567095.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2681297000 is an apocalyptic number.

681297000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132185600).

681297000 is an abundant number, since it is smaller than the sum of its proper divisors (1583074200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

681297000 is a wasteful number, since it uses less digits than its factorization.

681297000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 681297000 is about 26101.6666134559. Note that the first 4 decimals coincide. The cubic root of 681297000 is about 879.9246664162.

The spelling of 681297000 in words is "six hundred eighty-one million, two hundred ninety-seven thousand".