Search a number
-
+
132166080 = 263455099
BaseRepresentation
bin1111110000010…
…11000111000000
3100012200201210000
413320023013000
5232313303310
621040440000
73163251564
oct770130700
9305621700
10132166080
1168671372
1238319000
13214c66a7
14137a56a4
15b90a4c0
hex7e0b1c0

132166080 has 140 divisors (see below), whose sum is σ = 470230200. Its totient is φ = 35237376.

The previous prime is 132166063. The next prime is 132166081. The reversal of 132166080 is 80661231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132166081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23371 + ... + 28469.

Almost surely, 2132166080 is an apocalyptic number.

132166080 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 132166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235115100).

132166080 is an abundant number, since it is smaller than the sum of its proper divisors (338064120).

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

132166080 is an equidigital number, since it uses as much as digits as its factorization.

132166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 132166080 is about 11496.3507253389. The cubic root of 132166080 is about 509.3777879080.

The spelling of 132166080 in words is "one hundred thirty-two million, one hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5099 5184 6480 8640 10198 12960 15297 20396 25495 25920 30594 40792 45891 50990 61188 76485 81584 91782 101980 122376 137673 152970 163168 183564 203960 229455 244752 275346 305940 326336 367128 407920 413019 458910 489504 550692 611880 688365 734256 815840 826038 917820 979008 1101384 1223760 1376730 1468512 1631680 1652076 1835640 2065095 2202768 2447520 2753460 2937024 3304152 3671280 4130190 4405536 4895040 5506920 6608304 7342560 8260380 8811072 11013840 13216608 14685120 16520760 22027680 26433216 33041520 44055360 66083040 132166080