Search a number
-
+
2740929480 = 2332531449547
BaseRepresentation
bin1010001101011111…
…0100001111001000
321002000112122101200
42203113310033020
521103134220410
61131551344200
7124631342022
oct24327641710
97060478350
102740929480
111187201983
12645b22060
13348b17383
141c0049012
1511096c3c0
hexa35f43c8

2740929480 has 192 divisors, whose sum is σ = 9232704000. Its totient is φ = 704471040.

The previous prime is 2740929473. The next prime is 2740929487. The reversal of 2740929480 is 849290472.

2740929480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2740929473) and next prime (2740929487).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2740929487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5010567 + ... + 5011113.

It is an arithmetic number, because the mean of its divisors is an integer number (48087000).

Almost surely, 22740929480 is an apocalyptic number.

2740929480 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 2740929480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616352000).

2740929480 is an abundant number, since it is smaller than the sum of its proper divisors (6491774520).

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

2740929480 is a wasteful number, since it uses less digits than its factorization.

2740929480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2740929480 is about 52353.8869617147. The cubic root of 2740929480 is about 1399.4776078213.

The spelling of 2740929480 in words is "two billion, seven hundred forty million, nine hundred twenty-nine thousand, four hundred eighty".