Search a number
-
+
2086307712 = 273343101139
BaseRepresentation
bin111110001011010…
…1000011110000000
312101101202102011000
41330112220132000
513233043321322
6543004452000
7102462215526
oct17426503600
95341672130
102086307712
11980736955
124a284a000
13273305808
1415b124316
15c32603ac
hex7c5a8780

2086307712 has 256 divisors, whose sum is σ = 6408864000. Its totient is φ = 667699200.

The previous prime is 2086307683. The next prime is 2086307723. The reversal of 2086307712 is 2177036802.

2086307712 is a `hidden beast` number, since 2 + 0 + 8 + 630 + 7 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15009339 + ... + 15009477.

It is an arithmetic number, because the mean of its divisors is an integer number (25034625).

Almost surely, 22086307712 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 2086307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204432000).

2086307712 is an abundant number, since it is smaller than the sum of its proper divisors (4322556288).

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

2086307712 is a wasteful number, since it uses less digits than its factorization.

2086307712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2086307712 is about 45676.1175232747. The cubic root of 2086307712 is about 1277.7899101412.

The spelling of 2086307712 in words is "two billion, eighty-six million, three hundred seven thousand, seven hundred twelve".