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132116760 = 23325418951
BaseRepresentation
bin1111101111111…
…11000100011000
3100012121020010100
413313333010120
5232310214020
621035415400
73162655026
oct767770430
9305536110
10132116760
1168638306
12382b4560
13214aa0c9
1413791716
15b8eaa90
hex7dff118

132116760 has 96 divisors (see below), whose sum is σ = 439901280. Its totient is φ = 34368000.

The previous prime is 132116759. The next prime is 132116767. The reversal of 132116760 is 67611231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132116767) 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, 10285 + ... + 19235.

It is an arithmetic number, because the mean of its divisors is an integer number (4582305).

Almost surely, 2132116760 is an apocalyptic number.

132116760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132116760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219950640).

132116760 is an abundant number, since it is smaller than the sum of its proper divisors (307784520).

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

132116760 is a wasteful number, since it uses less digits than its factorization.

132116760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 132116760 is about 11494.2054966840. The cubic root of 132116760 is about 509.3144190565.

Adding to 132116760 its reverse (67611231), we get a palindrome (199727991).

It can be divided in two parts, 1321 and 16760, that added together give a palindrome (18081).

The spelling of 132116760 in words is "one hundred thirty-two million, one hundred sixteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 8951 14760 17902 26853 35804 44755 53706 71608 80559 89510 107412 134265 161118 179020 214824 268530 322236 358040 366991 402795 537060 644472 733982 805590 1074120 1100973 1467964 1611180 1834955 2201946 2935928 3222360 3302919 3669910 4403892 5504865 6605838 7339820 8807784 11009730 13211676 14679640 16514595 22019460 26423352 33029190 44038920 66058380 132116760