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1055811120 = 2435713291667
BaseRepresentation
bin111110111011100…
…110011000110000
32201120200202120120
4332323212120300
54130241423440
6252433410240
735110150350
oct7673463060
92646622516
101055811120
114a1a83581
12255709980
1313a97b610
14a0318b60
1562a57dd0
hex3eee6630

1055811120 has 320 divisors, whose sum is σ = 4169733120. Its totient is φ = 214953984.

The previous prime is 1055811103. The next prime is 1055811139. The reversal of 1055811120 is 211185501.

It is a super-2 number, since 2×10558111202 = 2229474242231308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 632527 + ... + 634193.

It is an arithmetic number, because the mean of its divisors is an integer number (13030416).

Almost surely, 21055811120 is an apocalyptic number.

1055811120 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 1055811120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084866560).

1055811120 is an abundant number, since it is smaller than the sum of its proper divisors (3113922000).

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

1055811120 is a wasteful number, since it uses less digits than its factorization.

1055811120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

The square root of 1055811120 is about 32493.2472984773. The cubic root of 1055811120 is about 1018.2679563218.

Adding to 1055811120 its reverse (211185501), we get a palindrome (1266996621).

It can be divided in two parts, 1055 and 811120, that added together give a triangular number (812175 = T1274).

The spelling of 1055811120 in words is "one billion, fifty-five million, eight hundred eleven thousand, one hundred twenty".