Search a number
-
+
2180710128 = 243318317657
BaseRepresentation
bin1000000111111010…
…1111111011110000
312121222101112220210
42001332233323300
513431230211003
61000220104120
7105016505322
oct20176577360
95558345823
102180710128
11a19a54883
1250a395040
13289a3952c
14169899612
15cb6ab503
hex81fafef0

2180710128 has 80 divisors (see below), whose sum is σ = 5885623296. Its totient is φ = 694940160.

The previous prime is 2180710121. The next prime is 2180710141. The reversal of 2180710128 is 8210170812.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2180710095 and 2180710104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180710121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114676 + ... + 132332.

Almost surely, 22180710128 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 2180710128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942811648).

2180710128 is an abundant number, since it is smaller than the sum of its proper divisors (3704913168).

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

2180710128 is a wasteful number, since it uses less digits than its factorization.

2180710128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17782 (or 17776 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 2180710128 is about 46698.0741358785. The cubic root of 2180710128 is about 1296.7790336057.

The spelling of 2180710128 in words is "two billion, one hundred eighty million, seven hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 248 249 332 372 496 498 664 744 996 1328 1488 1992 2573 3984 5146 7719 10292 15438 17657 20584 30876 35314 41168 52971 61752 70628 105942 123504 141256 211884 282512 423768 547367 847536 1094734 1465531 1642101 2189468 2931062 3284202 4378936 4396593 5862124 6568404 8757872 8793186 11724248 13136808 17586372 23448496 26273616 35172744 45431461 70345488 90862922 136294383 181725844 272588766 363451688 545177532 726903376 1090355064 2180710128