Search a number
-
+
132480540 = 223251938737
BaseRepresentation
bin1111110010101…
…11111000011100
3100020021201010200
413321113320130
5232403334130
621051303500
73166031433
oct771277034
9306251120
10132480540
1168866655
123844ab90
13215a686a
141384811a
15b96d760
hex7e57e1c

132480540 has 72 divisors (see below), whose sum is σ = 423018960. Its totient is φ = 33467904.

The previous prime is 132480539. The next prime is 132480571. The reversal of 132480540 is 45084231.

132480540 is a `hidden beast` number, since 132 + 480 + 54 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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, 15949 + ... + 22788.

Almost surely, 2132480540 is an apocalyptic number.

132480540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132480540 is an abundant number, since it is smaller than the sum of its proper divisors (290538420).

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

132480540 is a wasteful number, since it uses less digits than its factorization.

132480540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38771 (or 38766 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132480540 is about 11510.0191137982. The cubic root of 132480540 is about 509.7814519193.

The spelling of 132480540 in words is "one hundred thirty-two million, four hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 38737 77474 116211 154948 193685 232422 348633 387370 464844 581055 697266 736003 774740 1162110 1394532 1472006 1743165 2208009 2324220 2944012 3486330 3680015 4416018 6624027 6972660 7360030 8832036 11040045 13248054 14720060 22080090 26496108 33120135 44160180 66240270 132480540