Search a number
-
+
1310235056 = 241329321499
BaseRepresentation
bin100111000011000…
…1001100110110000
310101022102211121022
41032012021212300
510140410010211
6334002515012
744316546164
oct11606114660
93338384538
101310235056
11612658a99
12306965a68
1317b5ac820
14c6026ca4
157a062bdb
hex4e1899b0

1310235056 has 40 divisors (see below), whose sum is σ = 2743314000. Its totient is φ = 602631936.

The previous prime is 1310235037. The next prime is 1310235077. The reversal of 1310235056 is 6505320131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50195 + ... + 71693.

It is an arithmetic number, because the mean of its divisors is an integer number (68582850).

Almost surely, 21310235056 is an apocalyptic number.

1310235056 is a gapful number since it is divisible by the number (16) 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 1310235056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371657000).

1310235056 is an abundant number, since it is smaller than the sum of its proper divisors (1433078944).

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

1310235056 is a wasteful number, since it uses less digits than its factorization.

1310235056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21813 (or 21807 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 1310235056 is about 36197.1691710830. The cubic root of 1310235056 is about 1094.2496213573.

Adding to 1310235056 its reverse (6505320131), we get a palindrome (7815555187).

The spelling of 1310235056 in words is "one billion, three hundred ten million, two hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 293 586 1172 2344 3809 4688 7618 15236 21499 30472 42998 60944 85996 171992 279487 343984 558974 1117948 2235896 4471792 6299207 12598414 25196828 50393656 81889691 100787312 163779382 327558764 655117528 1310235056