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681526900 = 225222929761
BaseRepresentation
bin101000100111110…
…100011001110100
31202111102011011001
4220213310121310
52343432330100
6151343253044
722613611615
oct5047643164
91674364131
10681526900
1131a78227a
121702aa184
13ab271c72
1466729c0c
153ec73d6a
hex289f4674

681526900 has 36 divisors (see below), whose sum is σ = 1485421420. Its totient is φ = 271411200.

The previous prime is 681526849. The next prime is 681526907. The reversal of 681526900 is 9625186.

681526900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3549456 + 677977444 = 1884^2 + 26038^2 .

It is a super-2 number, since 2×6815269002 = 928957830847220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 681526900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681526907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8020 + ... + 37780.

Almost surely, 2681526900 is an apocalyptic number.

It is an amenable number.

681526900 is an abundant number, since it is smaller than the sum of its proper divisors (803894520).

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

681526900 is a wasteful number, since it uses less digits than its factorization.

681526900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30004 (or 29997 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 681526900 is about 26106.0701753443. The cubic root of 681526900 is about 880.0236305638.

The spelling of 681526900 in words is "six hundred eighty-one million, five hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900 29761 59522 119044 148805 297610 595220 744025 1488050 2976100 6815269 13630538 27261076 34076345 68152690 136305380 170381725 340763450 681526900