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1130768 = 24292437
BaseRepresentation
bin100010100000100010000
32010110010022
410110010100
5242141033
640123012
712416462
oct4240420
92113108
101130768
11702621
12466468
133078c2
14216132
15175098
hex114110

1130768 has 20 divisors (see below), whose sum is σ = 2267340. Its totient is φ = 545664.

The previous prime is 1130741. The next prime is 1130777. The reversal of 1130768 is 8670311.

It can be written as a sum of positive squares in 2 ways, for example, as 868624 + 262144 = 932^2 + 512^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 755 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (113367).

21130768 is an apocalyptic number.

It is an amenable number.

1130768 is an abundant number, since it is smaller than the sum of its proper divisors (1136572).

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

1130768 is a wasteful number, since it uses less digits than its factorization.

1130768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1130768 is about 1063.3757567295. The cubic root of 1130768 is about 104.1816352534.

The spelling of 1130768 in words is "one million, one hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 2437 4874 9748 19496 38992 70673 141346 282692 565384 1130768