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1131887946 = 237213129389
BaseRepresentation
bin100001101110111…
…0011110101001010
32220212211212100210
41003131303311022
54304230403241
6304152141550
740022613600
oct10335636512
92825755323
101131887946
11530a15192
122770978b6
131506670a7
14aa47d870
1569584316
hex43773d4a

1131887946 has 48 divisors (see below), whose sum is σ = 2653564320. Its totient is φ = 320916960.

The previous prime is 1131887927. The next prime is 1131887947. The reversal of 1131887946 is 6497881311.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1131887895 and 1131887904.

It is not an unprimeable number, because it can be changed into a prime (1131887947) 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 23 ways as a sum of consecutive naturals, for example, 23820 + ... + 53208.

It is an arithmetic number, because the mean of its divisors is an integer number (55282590).

Almost surely, 21131887946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131887946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326782160).

1131887946 is an abundant number, since it is smaller than the sum of its proper divisors (1521676374).

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

1131887946 is a wasteful number, since it uses less digits than its factorization.

1131887946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29539 (or 29532 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 1131887946 is about 33643.5424115832. The cubic root of 1131887946 is about 1042.1601875983.

The spelling of 1131887946 in words is "one billion, one hundred thirty-one million, eight hundred eighty-seven thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 131 147 262 294 393 786 917 1834 2751 5502 6419 12838 19257 29389 38514 58778 88167 176334 205723 411446 617169 1234338 1440061 2880122 3849959 4320183 7699918 8640366 11549877 23099754 26949713 53899426 80849139 161698278 188647991 377295982 565943973 1131887946