Search a number
-
+
2700465264 = 243372193661
BaseRepresentation
bin1010000011110101…
…1101010001110000
320222012101211221000
42200331131101300
521012304342024
61123544202000
7123630401400
oct24075352160
96865354830
102700465264
111166384582
12634469300
1334061a453
141b8914800
1510c127cc9
hexa0f5d470

2700465264 has 240 divisors, whose sum is σ = 9077291040. Its totient is φ = 766402560.

The previous prime is 2700465253. The next prime is 2700465277. The reversal of 2700465264 is 4625640072.

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 47 ways as a sum of consecutive naturals, for example, 4085094 + ... + 4085754.

It is an arithmetic number, because the mean of its divisors is an integer number (37822046).

Almost surely, 22700465264 is an apocalyptic number.

2700465264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2700465264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538645520).

2700465264 is an abundant number, since it is smaller than the sum of its proper divisors (6376825776).

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

2700465264 is a wasteful number, since it uses less digits than its factorization.

2700465264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2700465264 is about 51966.0010391410. The cubic root of 2700465264 is about 1392.5566293488.

The spelling of 2700465264 in words is "two billion, seven hundred million, four hundred sixty-five thousand, two hundred sixty-four".