Search a number
-
+
2714710240 = 2551123199337
BaseRepresentation
bin1010000111001111…
…0011000011100000
321000012012120100201
42201303303003200
521024431211430
61125213354544
7124162441054
oct24163630340
97005176321
102714710240
111173423a90
12639198a54
13343567228
141ba781c64
1510d4dd8ca
hexa1cf30e0

2714710240 has 192 divisors, whose sum is σ = 7359206400. Its totient is φ = 936714240.

The previous prime is 2714710231. The next prime is 2714710283. The reversal of 2714710240 is 420174172.

It is a junction number, because it is equal to n+sod(n) for n = 2714710199 and 2714710208.

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, 8055352 + ... + 8055688.

It is an arithmetic number, because the mean of its divisors is an integer number (38329200).

Almost surely, 22714710240 is an apocalyptic number.

2714710240 is a gapful number since it is divisible by the number (20) 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 2714710240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679603200).

2714710240 is an abundant number, since it is smaller than the sum of its proper divisors (4644496160).

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

2714710240 is a wasteful number, since it uses less digits than its factorization.

2714710240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 2714710240 is about 52102.8813022850. The cubic root of 2714710240 is about 1395.0009189667. Note that the first 3 decimals are identical.

The spelling of 2714710240 in words is "two billion, seven hundred fourteen million, seven hundred ten thousand, two hundred forty".