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1122060880 = 24553264637
BaseRepresentation
bin100001011100001…
…0100101001010000
32220012100121011101
41002320110221100
54244221422010
6303201354144
736543234343
oct10270245120
92805317141
101122060880
11526412a46
12273938954
1314b606165
14a904245a
156879273a
hex42e14a50

1122060880 has 40 divisors (see below), whose sum is σ = 2658024072. Its totient is φ = 440354304.

The previous prime is 1122060871. The next prime is 1122060883. The reversal of 1122060880 is 880602211.

It can be written as a sum of positive squares in 4 ways, for example, as 563967504 + 558093376 = 23748^2 + 23624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122060883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128079 + ... + 136558.

Almost surely, 21122060880 is an apocalyptic number.

1122060880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122060880 is an abundant number, since it is smaller than the sum of its proper divisors (1535963192).

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

1122060880 is a wasteful number, since it uses less digits than its factorization.

1122060880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264703 (or 264697 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1122060880 is about 33497.1771945040. The cubic root of 1122060880 is about 1039.1354007479.

The spelling of 1122060880 in words is "one billion, one hundred twenty-two million, sixty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 264637 529274 1058548 1323185 2117096 2646370 4234192 5292740 10585480 14025761 21170960 28051522 56103044 70128805 112206088 140257610 224412176 280515220 561030440 1122060880