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1056061120 = 2653300191
BaseRepresentation
bin111110111100100…
…011011011000000
32201121011110111211
4332330203123000
54130322423440
6252443015504
735112241252
oct7674433300
92647143454
101056061120
114a2134394
1225580a594
1313aa3834a
14a0381cd2
1562aa6eea
hex3ef236c0

1056061120 has 28 divisors (see below), whose sum is σ = 2514746304. Its totient is φ = 422424320.

The previous prime is 1056061117. The next prime is 1056061121. The reversal of 1056061120 is 211606501.

It is a super-3 number, since 3×10560611203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1056061091 and 1056061100.

It is not an unprimeable number, because it can be changed into a prime (1056061121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1649776 + ... + 1650415.

It is an arithmetic number, because the mean of its divisors is an integer number (89812368).

Almost surely, 21056061120 is an apocalyptic number.

1056061120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056061120 is an abundant number, since it is smaller than the sum of its proper divisors (1458685184).

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

1056061120 is an equidigital number, since it uses as much as digits as its factorization.

1056061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300208 (or 3300198 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1056061120 is about 32497.0940239277. The cubic root of 1056061120 is about 1018.3483200960.

Adding to 1056061120 its reverse (211606501), we get a palindrome (1267667621).

The spelling of 1056061120 in words is "one billion, fifty-six million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3300191 6600382 13200764 16500955 26401528 33001910 52803056 66003820 105606112 132007640 211212224 264015280 528030560 1056061120