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1047076460 = 225314393847
BaseRepresentation
bin111110011010010…
…001111001101100
32200222020222212122
4332122101321230
54121022421320
6251522252112
734643001023
oct7632217154
92628228778
101047076460
11498058051
122527b7038
13138c10991
149d0c38ba
1561dced25
hex3e691e6c

1047076460 has 48 divisors (see below), whose sum is σ = 2275553280. Its totient is φ = 404291520.

The previous prime is 1047076451. The next prime is 1047076483. The reversal of 1047076460 is 646707401.

It is a happy number.

It is a super-2 number, since 2×10470764602 = 2192738226172263200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1047076460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270257 + ... + 274103.

It is an arithmetic number, because the mean of its divisors is an integer number (47407360).

Almost surely, 21047076460 is an apocalyptic number.

1047076460 is a gapful number since it is divisible by the number (10) 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 1047076460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137776640).

1047076460 is an abundant number, since it is smaller than the sum of its proper divisors (1228476820).

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

1047076460 is a wasteful number, since it uses less digits than its factorization.

1047076460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 1047076460 is about 32358.5608456248. The cubic root of 1047076460 is about 1015.4521544248.

The spelling of 1047076460 in words is "one billion, forty-seven million, seventy-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 439 620 878 1756 2195 3847 4390 7694 8780 13609 15388 19235 27218 38470 54436 68045 76940 119257 136090 238514 272180 477028 596285 1192570 1688833 2385140 3377666 6755332 8444165 16888330 33776660 52353823 104707646 209415292 261769115 523538230 1047076460