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1055830272 = 2837238539
BaseRepresentation
bin111110111011101…
…011000100000000
32201120201201211220
4332323223010000
54130243032042
6252434035040
735110260240
oct7673530400
92646651756
101055830272
114a1a96a02
12255718a80
1313a987253
14a0321b20
1562a5d8ec
hex3eeeb100

1055830272 has 144 divisors (see below), whose sum is σ = 3351505920. Its totient is φ = 288516096.

The previous prime is 1055830211. The next prime is 1055830283. The reversal of 1055830272 is 2720385501.

1055830272 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 2×10558302722 = 2229555126543187968, which contains 22 as substring.

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, 119379 + ... + 127917.

Almost surely, 21055830272 is an apocalyptic number.

1055830272 is a gapful number since it is divisible by the number (12) 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 1055830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675752960).

1055830272 is an abundant number, since it is smaller than the sum of its proper divisors (2295675648).

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

1055830272 is an equidigital number, since it uses as much as digits as its factorization.

1055830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1055830272 is about 32493.5420045276. The cubic root of 1055830272 is about 1018.2741132785.

The spelling of 1055830272 in words is "one billion, fifty-five million, eight hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8539 8832 10304 15456 17078 17664 20608 25617 30912 34156 41216 51234 59773 61824 68312 102468 119546 123648 136624 179319 196397 204936 239092 273248 358638 392794 409872 478184 546496 589191 717276 785588 819744 956368 1092992 1178382 1374779 1434552 1571176 1639488 1912736 2185984 2356764 2749558 2869104 3142352 3278976 3825472 4124337 4713528 5499116 5738208 6284704 6557952 7650944 8248674 9427056 10998232 11476416 12569408 15301888 16497348 18854112 21996464 22952832 25138816 32994696 37708224 43992928 45905664 50277632 65989392 75416448 87985856 131978784 150832896 175971712 263957568 351943424 527915136 1055830272