Search a number
-
+
132104448 = 283278191
BaseRepresentation
bin1111101111111…
…00000100000000
3100012120121020100
413313330010000
5232304320243
621035242400
73162604110
oct767740400
9305517210
10132104448
116862a033
12382a9400
13214a4618
141378b040
15b8e70d3
hex7dfc100

132104448 has 108 divisors (see below), whose sum is σ = 435355648. Its totient is φ = 37739520.

The previous prime is 132104429. The next prime is 132104449. The reversal of 132104448 is 844401231.

132104448 is a `hidden beast` number, since 1 + 3 + 210 + 4 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (132104449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12033 + ... + 20223.

Almost surely, 2132104448 is an apocalyptic number.

132104448 is a gapful number since it is divisible by the number (18) 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 132104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217677824).

132104448 is an abundant number, since it is smaller than the sum of its proper divisors (303251200).

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

132104448 is an equidigital number, since it uses as much as digits as its factorization.

132104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 132104448 is about 11493.6699099983. The cubic root of 132104448 is about 509.2985975111.

Adding to 132104448 its reverse (844401231), we get a palindrome (976505679).

The spelling of 132104448 in words is "one hundred thirty-two million, one hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 8191 16128 16382 24573 32764 49146 57337 65528 73719 98292 114674 131056 147438 172011 196584 229348 262112 294876 344022 393168 458696 516033 524224 589752 688044 786336 917392 1032066 1048448 1179504 1376088 1572672 1834784 2064132 2096896 2359008 2752176 3145344 3669568 4128264 4718016 5504352 6290688 7339136 8256528 9436032 11008704 14678272 16513056 18872064 22017408 33026112 44034816 66052224 132104448