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1380727648 = 25471376701
BaseRepresentation
bin101001001001100…
…0011101101100000
310120020002020021001
41102103003231200
510311431241043
6345001441344
746133664016
oct12223035540
93506066231
101380727648
11649426133
123264a0254
13190091611
14d15368b6
158133974d
hex524c3b60

1380727648 has 48 divisors (see below), whose sum is σ = 2796825024. Its totient is φ = 670643200.

The previous prime is 1380727643. The next prime is 1380727687. The reversal of 1380727648 is 8467270831.

It is a super-2 number, since 2×13807276482 = 3812817675903223808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1380727598 and 1380727607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380727643) by changing a digit.

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, 202698 + ... + 209398.

It is an arithmetic number, because the mean of its divisors is an integer number (58267188).

Almost surely, 21380727648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380727648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398412512).

1380727648 is an abundant number, since it is smaller than the sum of its proper divisors (1416097376).

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

1380727648 is a wasteful number, since it uses less digits than its factorization.

1380727648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6895 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 1380727648 is about 37158.1437641871. The cubic root of 1380727648 is about 1113.5319275533.

It can be divided in two parts, 1380 and 727648, that added together give a triangular number (729028 = T1207).

The spelling of 1380727648 in words is "one billion, three hundred eighty million, seven hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 47 94 137 188 274 376 548 752 1096 1504 2192 4384 6439 6701 12878 13402 25756 26804 51512 53608 103024 107216 206048 214432 314947 629894 918037 1259788 1836074 2519576 3672148 5039152 7344296 10078304 14688592 29377184 43147739 86295478 172590956 345181912 690363824 1380727648