Search a number
-
+
2704716140 = 2257531033539
BaseRepresentation
bin1010000100110110…
…1011000101101100
320222111101211000212
42201031223011230
521014401404030
61124215241552
7124011464540
oct24115530554
96874354025
102704716140
1111688182a5
126359792b8
13341478269
141b92dda20
1510c6b7595
hexa136b16c

2704716140 has 96 divisors (see below), whose sum is σ = 6679895040. Its totient is φ = 900746496.

The previous prime is 2704716107. The next prime is 2704716143. The reversal of 2704716140 is 416174072.

It is a junction number, because it is equal to n+sod(n) for n = 2704716097 and 2704716106.

It is not an unprimeable number, because it can be changed into a prime (2704716143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762491 + ... + 766029.

It is an arithmetic number, because the mean of its divisors is an integer number (69582240).

Almost surely, 22704716140 is an apocalyptic number.

2704716140 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 2704716140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339947520).

2704716140 is an abundant number, since it is smaller than the sum of its proper divisors (3975178900).

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

2704716140 is a wasteful number, since it uses less digits than its factorization.

2704716140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 2704716140 is about 52006.8855056713. The cubic root of 2704716140 is about 1393.2869334049.

The spelling of 2704716140 in words is "two billion, seven hundred four million, seven hundred sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 103 106 140 206 212 265 371 412 515 530 721 742 1030 1060 1442 1484 1855 2060 2884 3539 3605 3710 5459 7078 7210 7420 10918 14156 14420 17695 21836 24773 27295 35390 38213 49546 54590 70780 76426 99092 109180 123865 152852 187567 191065 247730 364517 375134 382130 495460 729034 750268 764260 937835 1312969 1458068 1822585 1875670 2551619 2625938 3645170 3751340 5103238 5251876 6564845 7290340 10206476 12758095 13129690 19319401 25516190 26259380 38638802 51032380 77277604 96597005 135235807 193194010 270471614 386388020 540943228 676179035 1352358070 2704716140