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1066045460 = 22567379201
BaseRepresentation
bin111111100010101…
…001000000010100
32202021221201110012
4333202221000110
54140401423320
6253441015352
735263144154
oct7742510024
92667851405
101066045460
114a7833807
12259024558
1313cb22a3c
14a1820764
15638ca4c5
hex3f8a9014

1066045460 has 24 divisors (see below), whose sum is σ = 2242050216. Its totient is φ = 425779200.

The previous prime is 1066045451. The next prime is 1066045501. The reversal of 1066045460 is 645406601.

It can be written as a sum of positive squares in 4 ways, for example, as 184905604 + 881139856 = 13598^2 + 29684^2 .

It is a super-2 number, since 2×10660454602 = 2272905845573223200, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26141 + ... + 53060.

It is an arithmetic number, because the mean of its divisors is an integer number (93418759).

Almost surely, 21066045460 is an apocalyptic number.

1066045460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066045460 is an abundant number, since it is smaller than the sum of its proper divisors (1176004756).

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

1066045460 is a wasteful number, since it uses less digits than its factorization.

1066045460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79883 (or 79881 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1066045460 is about 32650.3516060700. The cubic root of 1066045460 is about 1021.5475227874.

The spelling of 1066045460 in words is "one billion, sixty-six million, forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 673 1346 2692 3365 6730 13460 79201 158402 316804 396005 792010 1584020 53302273 106604546 213209092 266511365 533022730 1066045460