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1055343040 = 26523223643
BaseRepresentation
bin111110111001110…
…100000111000000
32201112210222111021
4332321310013000
54130131434130
6252415355224
735103160603
oct7671640700
92645728437
101055343040
114a1793934
12255522b14
1313a84654b
14a023633a
15629b437a
hex3ee741c0

1055343040 has 112 divisors (see below), whose sum is σ = 2638153728. Its totient is φ = 401347584.

The previous prime is 1055343019. The next prime is 1055343053. The reversal of 1055343040 is 403435501.

1055343040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10553430402 = 2227497864152883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055342996 and 1055343014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640959 + ... + 1641601.

It is an arithmetic number, because the mean of its divisors is an integer number (23554944).

Almost surely, 21055343040 is an apocalyptic number.

1055343040 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 1055343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319076864).

1055343040 is an abundant number, since it is smaller than the sum of its proper divisors (1582810688).

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

1055343040 is a wasteful number, since it uses less digits than its factorization.

1055343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1055343040 is about 32486.0437726726. The cubic root of 1055343040 is about 1018.1174555017.

Adding to 1055343040 its reverse (403435501), we get a palindrome (1458778541).

The spelling of 1055343040 in words is "one billion, fifty-five million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 223 230 320 368 446 460 643 736 892 920 1115 1286 1472 1784 1840 2230 2572 3215 3568 3680 4460 5129 5144 6430 7136 7360 8920 10258 10288 12860 14272 14789 17840 20516 20576 25645 25720 29578 35680 41032 41152 51290 51440 59156 71360 73945 82064 102580 102880 118312 143389 147890 164128 205160 205760 236624 286778 295780 328256 410320 473248 573556 591560 716945 820640 946496 1147112 1183120 1433890 1641280 2294224 2366240 2867780 3297947 4588448 4732480 5735560 6595894 9176896 11471120 13191788 16489735 22942240 26383576 32979470 45884480 52767152 65958940 105534304 131917880 211068608 263835760 527671520 1055343040