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1050808320 = 2123255701
BaseRepresentation
bin111110101000100…
…001000000000000
32201020021121000200
4332220201000000
54123001331240
6252134245200
735016503052
oct7650410000
92636247020
101050808320
1149a176931
12253ab6800
13139919493
149d7b58d2
15623ba930
hex3ea21000

1050808320 has 156 divisors (see below), whose sum is σ = 3642996396. Its totient is φ = 280166400.

The previous prime is 1050808289. The next prime is 1050808321. The reversal of 1050808320 is 238080501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 652087296 + 398721024 = 25536^2 + 19968^2 .

It is a super-2 number, since 2×10508083202 = 2208396250762444800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1050808321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181470 + ... + 187170.

It is an arithmetic number, because the mean of its divisors is an integer number (23352541).

Almost surely, 21050808320 is an apocalyptic number.

1050808320 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 1050808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821498198).

1050808320 is an abundant number, since it is smaller than the sum of its proper divisors (2592188076).

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

1050808320 is an equidigital number, since it uses as much as digits as its factorization.

1050808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1050808320 is about 32416.1737408967. The cubic root of 1050808320 is about 1016.6571069005.

Adding to 1050808320 its reverse (238080501), we get a palindrome (1288888821).

The spelling of 1050808320 in words is "one billion, fifty million, eight hundred eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5701 5760 6144 7680 9216 10240 11402 11520 12288 15360 17103 18432 20480 22804 23040 28505 30720 34206 36864 45608 46080 51309 57010 61440 68412 85515 91216 92160 102618 114020 136824 171030 182432 184320 205236 228040 256545 273648 342060 364864 410472 456080 513090 547296 684120 729728 820944 912160 1026180 1094592 1368240 1459456 1641888 1824320 2052360 2189184 2736480 2918912 3283776 3648640 4104720 4378368 5472960 5837824 6567552 7297280 8209440 8756736 10945920 11675648 13135104 14594560 16418880 17513472 21891840 23351296 26270208 29189120 32837760 35026944 43783680 52540416 58378240 65675520 70053888 87567360 105080832 116756480 131351040 175134720 210161664 262702080 350269440 525404160 1050808320