Search a number
-
+
132181005 = 35112193833
BaseRepresentation
bin1111110000011…
…10110000001101
3100012201111020210
413320032300031
5232314243010
621041033033
73163343235
oct770166015
9305644223
10132181005
1168681600
1238325779
1321500418
14137aacc5
15b90eb20
hex7e0ec0d

132181005 has 48 divisors (see below), whose sum is σ = 244762560. Its totient is φ = 60698880.

The previous prime is 132181003. The next prime is 132181013. The reversal of 132181005 is 500181231.

It is not a de Polignac number, because 132181005 - 21 = 132181003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132181003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32569 + ... + 36401.

It is an arithmetic number, because the mean of its divisors is an integer number (5099220).

Almost surely, 2132181005 is an apocalyptic number.

132181005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132181005 is a deficient number, since it is larger than the sum of its proper divisors (112581555).

132181005 is a wasteful number, since it uses less digits than its factorization.

132181005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 132181005 is about 11496.9998260416. Note that the first 3 decimals coincide. The cubic root of 132181005 is about 509.3969612020.

The spelling of 132181005 in words is "one hundred thirty-two million, one hundred eighty-one thousand, five".

Divisors: 1 3 5 11 15 19 33 55 57 95 121 165 209 285 363 605 627 1045 1815 2299 3135 3833 6897 11495 11499 19165 34485 42163 57495 72827 126489 210815 218481 364135 463793 632445 801097 1092405 1391379 2318965 2403291 4005485 6956895 8812067 12016455 26436201 44060335 132181005