Search a number
-
+
132241120 = 25511227331
BaseRepresentation
bin1111110000111…
…01011011100000
3100012211112201021
413320131123200
5232323203440
621042215224
73164013424
oct770353340
9305745637
10132241120
1168712790
1238354514
13215218ab
14137c4b84
15b92284a
hex7e1d6e0

132241120 has 96 divisors (see below), whose sum is σ = 343357056. Its totient is φ = 47731200.

The previous prime is 132241117. The next prime is 132241141. The reversal of 132241120 is 21142231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132241094 and 132241103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399355 + ... + 399685.

It is an arithmetic number, because the mean of its divisors is an integer number (3576636).

Almost surely, 2132241120 is an apocalyptic number.

132241120 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 132241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171678528).

132241120 is an abundant number, since it is smaller than the sum of its proper divisors (211115936).

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

132241120 is a wasteful number, since it uses less digits than its factorization.

132241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132241120 is about 11499.6139065623. The cubic root of 132241120 is about 509.4741728942.

Adding to 132241120 its reverse (21142231), we get a palindrome (153383351).

The spelling of 132241120 in words is "one hundred thirty-two million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 227 331 352 440 454 662 880 908 1135 1324 1655 1760 1816 2270 2497 2648 3310 3632 3641 4540 4994 5296 6620 7264 7282 9080 9988 10592 12485 13240 14564 18160 18205 19976 24970 26480 29128 36320 36410 39952 49940 52960 58256 72820 75137 79904 99880 116512 145640 150274 199760 291280 300548 375685 399520 582560 601096 751370 826507 1202192 1502740 1653014 2404384 3005480 3306028 4132535 6010960 6612056 8265070 12021920 13224112 16530140 26448224 33060280 66120560 132241120