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681002600 = 235210133713
BaseRepresentation
bin101000100101110…
…100011001101000
31202110102111221112
4220211310121220
52343314040400
6151324125452
722606266215
oct5045643150
91673374845
10681002600
1131a454373
12170096888
13ab11a425
1466630b0c
153ebbd835
hex28974668

681002600 has 48 divisors (see below), whose sum is σ = 1599055020. Its totient is φ = 269696000.

The previous prime is 681002557. The next prime is 681002611. The reversal of 681002600 is 6200186.

It can be written as a sum of positive squares in 6 ways, for example, as 305340676 + 375661924 = 17474^2 + 19382^2 .

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 11 ways as a sum of consecutive naturals, for example, 3344 + ... + 37056.

Almost surely, 2681002600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681002600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799527510).

681002600 is an abundant number, since it is smaller than the sum of its proper divisors (918052420).

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

681002600 is a wasteful number, since it uses less digits than its factorization.

681002600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33830 (or 33821 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 681002600 is about 26096.0265174605. The cubic root of 681002600 is about 879.7979046935.

Adding to 681002600 its reverse (6200186), we get a palindrome (687202786).

The spelling of 681002600 in words is "six hundred eighty-one million, two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 33713 67426 134852 168565 269704 337130 674260 842825 1348520 1685650 3371300 3405013 6742600 6810026 13620052 17025065 27240104 34050130 68100260 85125325 136200520 170250650 340501300 681002600