Search a number
-
+
132141352 = 23719124193
BaseRepresentation
bin1111110000001…
…01000100101000
3100012122110212011
413320011010220
5232312010402
621040125304
73163116520
oct770050450
9305573764
10132141352
1168654832
1238306834
13214b8365
141379a680
15b902ed7
hex7e05128

132141352 has 32 divisors (see below), whose sum is σ = 298065600. Its totient is φ = 53650944.

The previous prime is 132141307. The next prime is 132141367. The reversal of 132141352 is 253141231.

It is a happy number.

It is a super-3 number, since 3×1321413523 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61033 + ... + 63160.

It is an arithmetic number, because the mean of its divisors is an integer number (9314550).

Almost surely, 2132141352 is an apocalyptic number.

It is an amenable number.

132141352 is an abundant number, since it is smaller than the sum of its proper divisors (165924248).

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

132141352 is a wasteful number, since it uses less digits than its factorization.

132141352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124225 (or 124221 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 132141352 is about 11495.2752033172. The cubic root of 132141352 is about 509.3460180833.

Adding to 132141352 its reverse (253141231), we get a palindrome (385282583).

The spelling of 132141352 in words is "one hundred thirty-two million, one hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 124193 248386 496772 869351 993544 1738702 2359667 3477404 4719334 6954808 9438668 16517669 18877336 33035338 66070676 132141352