Search a number
-
+
132140415 = 35116711953
BaseRepresentation
bin1111110000001…
…00110101111111
3100012122102120110
413320010311333
5232311443130
621040121103
73163114011
oct770046577
9305572513
10132140415
1168654060
1238306193
13214b7ac4
141379a1b1
15b902ab0
hex7e04d7f

132140415 has 32 divisors (see below), whose sum is σ = 234107136. Its totient is φ = 63106560.

The previous prime is 132140389. The next prime is 132140429. The reversal of 132140415 is 514041231.

It is not a de Polignac number, because 132140415 - 213 = 132132223 is a prime.

It is a super-2 number, since 2×1321404152 = 34922178552744450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132140391 and 132140400.

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 31 ways as a sum of consecutive naturals, for example, 5079 + ... + 17031.

It is an arithmetic number, because the mean of its divisors is an integer number (7315848).

Almost surely, 2132140415 is an apocalyptic number.

132140415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132140415 is a deficient number, since it is larger than the sum of its proper divisors (101966721).

132140415 is a wasteful number, since it uses less digits than its factorization.

132140415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12039.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 132140415 is about 11495.2344473699. The cubic root of 132140415 is about 509.3448141747.

Adding to 132140415 its reverse (514041231), we get a palindrome (646181646).

The spelling of 132140415 in words is "one hundred thirty-two million, one hundred forty thousand, four hundred fifteen".

Divisors: 1 3 5 11 15 33 55 67 165 201 335 737 1005 2211 3685 11055 11953 35859 59765 131483 179295 394449 657415 800851 1972245 2402553 4004255 8809361 12012765 26428083 44046805 132140415