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681021072 = 243229316141
BaseRepresentation
bin101000100101111…
…000111010010000
31202110110110021200
4220211320322100
52343320133242
6151324351200
722606404114
oct5045707220
91673413250
10681021072
1131a467236
121700a5500
13ab125964
1466637744
153ebc404c
hex28978e90

681021072 has 60 divisors (see below), whose sum is σ = 1912536444. Its totient is φ = 226218240.

The previous prime is 681021067. The next prime is 681021091. The reversal of 681021072 is 270120186.

It can be written as a sum of positive squares in 2 ways, for example, as 491242896 + 189778176 = 22164^2 + 13776^2 .

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, 34122 + ... + 50262.

Almost surely, 2681021072 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 681021072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956268222).

681021072 is an abundant number, since it is smaller than the sum of its proper divisors (1231515372).

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

681021072 is a wasteful number, since it uses less digits than its factorization.

681021072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 681021072 is about 26096.3804386739. The cubic root of 681021072 is about 879.8058593768.

The spelling of 681021072 in words is "six hundred eighty-one million, twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 10548 14064 16141 21096 32282 42192 48423 64564 96846 129128 145269 193692 258256 290538 387384 581076 774768 1162152 2324304 4729313 9458626 14187939 18917252 28375878 37834504 42563817 56751756 75669008 85127634 113503512 170255268 227007024 340510536 681021072