Search a number
-
+
2780426010 = 2354319910831
BaseRepresentation
bin1010010110111001…
…1110111100011010
321011202212021110010
42211232132330122
521143242113020
61135522102350
7125621142165
oct24556367432
97152767403
102780426010
1111a752923a
126571aa9b6
133540659bb
141c53aaadc
1511416ede0
hexa5b9ef1a

2780426010 has 64 divisors (see below), whose sum is σ = 6863155200. Its totient is φ = 720498240.

The previous prime is 2780425997. The next prime is 2780426017. The reversal of 2780426010 is 106240872.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2780426017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251295 + ... + 262125.

It is an arithmetic number, because the mean of its divisors is an integer number (107236800).

Almost surely, 22780426010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780426010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431577600).

2780426010 is an abundant number, since it is smaller than the sum of its proper divisors (4082729190).

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

2780426010 is a wasteful number, since it uses less digits than its factorization.

2780426010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2780426010 is about 52729.7450211927. The cubic root of 2780426010 is about 1406.1676880611.

Adding to 2780426010 its reverse (106240872), we get a palindrome (2886666882).

The spelling of 2780426010 in words is "two billion, seven hundred eighty million, four hundred twenty-six thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 199 215 258 398 430 597 645 995 1194 1290 1990 2985 5970 8557 10831 17114 21662 25671 32493 42785 51342 54155 64986 85570 108310 128355 162465 256710 324930 465733 931466 1397199 2155369 2328665 2794398 4310738 4657330 6466107 6985995 10776845 12932214 13971990 21553690 32330535 64661070 92680867 185361734 278042601 463404335 556085202 926808670 1390213005 2780426010