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1056883520 = 26571159727
BaseRepresentation
bin111110111111101…
…100001101000000
32201122201020122002
4332333230031000
54131030233040
6252512403132
735122235030
oct7677541500
92648636562
101056883520
114a2646260
12255b464a8
1313ac65784
14a05178c0
1562bbaa15
hex3efec340

1056883520 has 224 divisors, whose sum is σ = 3195279360. Its totient is φ = 323389440.

The previous prime is 1056883517. The next prime is 1056883543. The reversal of 1056883520 is 253886501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10568835202 = 2234005549695180800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453397 + ... + 1454123.

It is an arithmetic number, because the mean of its divisors is an integer number (14264640).

Almost surely, 21056883520 is an apocalyptic number.

1056883520 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 1056883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597639680).

1056883520 is an abundant number, since it is smaller than the sum of its proper divisors (2138395840).

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

1056883520 is a wasteful number, since it uses less digits than its factorization.

1056883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 1056883520 is about 32509.7450005379. The cubic root of 1056883520 is about 1018.6125953165.

The spelling of 1056883520 in words is "one billion, fifty-six million, eight hundred eighty-three thousand, five hundred twenty".