Search a number
-
+
2700120768 = 26344931321
BaseRepresentation
bin1010000011110000…
…1001001011000000
320222011202100100220
42200330021023000
521012212331033
61123532543040
7123624435132
oct24074111300
96864670326
102700120768
111166169774
12634321a80
133405296c7
141b8865052
1510c0aabb3
hexa0f092c0

2700120768 has 56 divisors (see below), whose sum is σ = 7160209200. Its totient is φ = 898007040.

The previous prime is 2700120767. The next prime is 2700120793. The reversal of 2700120768 is 8670210072.

It is not an unprimeable number, because it can be changed into a prime (2700120763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70548 + ... + 101868.

Almost surely, 22700120768 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 2700120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580104600).

2700120768 is an abundant number, since it is smaller than the sum of its proper divisors (4460088432).

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

2700120768 is a wasteful number, since it uses less digits than its factorization.

2700120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31785 (or 31775 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 2700120768 is about 51962.6863046937. The cubic root of 2700120768 is about 1392.4974110854.

The spelling of 2700120768 in words is "two billion, seven hundred million, one hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 449 898 1347 1796 2694 3592 5388 7184 10776 14368 21552 28736 31321 43104 62642 86208 93963 125284 187926 250568 375852 501136 751704 1002272 1503408 2004544 3006816 6013632 14063129 28126258 42189387 56252516 84378774 112505032 168757548 225010064 337515096 450020128 675030192 900040256 1350060384 2700120768