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1131137780 = 225181312469
BaseRepresentation
bin100001101101011…
…1100101011110100
32220211102202022212
41003122330223310
54304032402110
6304124112552
740013340533
oct10332745364
92824382285
101131137780
11530552613
12276995758
131504637c6
14aa32631a
1569486e05
hex436bcaf4

1131137780 has 24 divisors (see below), whose sum is σ = 2388520680. Its totient is φ = 449953920.

The previous prime is 1131137759. The next prime is 1131137783. The reversal of 1131137780 is 877311311.

It can be written as a sum of positive squares in 4 ways, for example, as 7279204 + 1123858576 = 2698^2 + 33524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131137783) 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 7 ways as a sum of consecutive naturals, for example, 152615 + ... + 159854.

It is an arithmetic number, because the mean of its divisors is an integer number (99521695).

Almost surely, 21131137780 is an apocalyptic number.

1131137780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131137780 is an abundant number, since it is smaller than the sum of its proper divisors (1257382900).

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

1131137780 is a wasteful number, since it uses less digits than its factorization.

1131137780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312659 (or 312657 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The square root of 1131137780 is about 33632.3918269278. The cubic root of 1131137780 is about 1041.9299039327.

The spelling of 1131137780 in words is "one billion, one hundred thirty-one million, one hundred thirty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 312469 624938 1249876 1562345 3124690 6249380 56556889 113113778 226227556 282784445 565568890 1131137780