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1055819540 = 22552790977
BaseRepresentation
bin111110111011101…
…000011100010100
32201120201012010102
4332323220130110
54130242211130
6252433513232
735110214036
oct7673503424
92646635112
101055819540
114a1a89936
12255712818
1313a9823b9
14a031bc56
1562a5a645
hex3eee8714

1055819540 has 12 divisors (see below), whose sum is σ = 2217221076. Its totient is φ = 422327808.

The previous prime is 1055819539. The next prime is 1055819543. The reversal of 1055819540 is 459185501.

It can be written as a sum of positive squares in 2 ways, for example, as 825872644 + 229946896 = 28738^2 + 15164^2 .

It is a super-2 number, since 2×10558195402 = 2229509802091623200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055819494 and 1055819503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055819543) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 26395469 + ... + 26395508.

It is an arithmetic number, because the mean of its divisors is an integer number (184768423).

Almost surely, 21055819540 is an apocalyptic number.

1055819540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055819540 is an abundant number, since it is smaller than the sum of its proper divisors (1161401536).

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

1055819540 is a wasteful number, since it uses less digits than its factorization.

1055819540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52790986 (or 52790984 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 38.

The square root of 1055819540 is about 32493.3768636010. The cubic root of 1055819540 is about 1018.2706631802.

The spelling of 1055819540 in words is "one billion, fifty-five million, eight hundred nineteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 52790977 105581954 211163908 263954885 527909770 1055819540