Search a number
-
+
1034768660 = 225411261913
BaseRepresentation
bin111101101011010…
…101000100010100
32200010002200202012
4331223111010110
54104400044120
6250402403352
734433250152
oct7553250424
92603080665
101034768660
11491111012
1224a660558
131364c1863
149b5dc3d2
1560c9d1c5
hex3dad5114

1034768660 has 24 divisors (see below), whose sum is σ = 2226016296. Its totient is φ = 403811840.

The previous prime is 1034768659. The next prime is 1034768663. The reversal of 1034768660 is 668674301.

1034768660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 162511504 + 872257156 = 12748^2 + 29534^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034768663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630137 + ... + 631776.

It is an arithmetic number, because the mean of its divisors is an integer number (92750679).

Almost surely, 21034768660 is an apocalyptic number.

1034768660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034768660 is an abundant number, since it is smaller than the sum of its proper divisors (1191247636).

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

1034768660 is a wasteful number, since it uses less digits than its factorization.

1034768660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261963 (or 1261961 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 1034768660 is about 32167.8202556530. The cubic root of 1034768660 is about 1011.4577714135.

The spelling of 1034768660 in words is "one billion, thirty-four million, seven hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1261913 2523826 5047652 6309565 12619130 25238260 51738433 103476866 206953732 258692165 517384330 1034768660