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1055110656 = 2936111261
BaseRepresentation
bin111110111000111…
…011011000000000
32201112101011201110
4332320323120000
54130102020111
6252410403320
735101202235
oct7670733000
92645334643
101055110656
114a1645286
12255430540
1313a794842
14a01b578c
156296a5a6
hex3ee3b600

1055110656 has 80 divisors (see below), whose sum is σ = 2857214448. Its totient is φ = 345907200.

The previous prime is 1055110643. The next prime is 1055110723. The reversal of 1055110656 is 6560115501.

1055110656 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 2×10551106562 = 2226516992809500672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88066 + ... + 99326.

Almost surely, 21055110656 is an apocalyptic number.

1055110656 is a gapful number since it is divisible by the number (16) 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 1055110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428607224).

1055110656 is an abundant number, since it is smaller than the sum of its proper divisors (1802103792).

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

1055110656 is an equidigital number, since it uses as much as digits as its factorization.

1055110656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343 (or 11327 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 1055110656 is about 32482.4669013916. The cubic root of 1055110656 is about 1018.0427210107.

The spelling of 1055110656 in words is "one billion, fifty-five million, one hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1464 1536 1952 2928 3904 5856 7808 11261 11712 15616 22522 23424 31232 33783 45044 46848 67566 90088 93696 135132 180176 270264 360352 540528 686921 720704 1081056 1373842 1441408 2060763 2162112 2747684 2882816 4121526 4324224 5495368 5765632 8243052 8648448 10990736 16486104 17296896 21981472 32972208 43962944 65944416 87925888 131888832 175851776 263777664 351703552 527555328 1055110656