Search a number
-
+
132413325 = 35211214591
BaseRepresentation
bin1111110010001…
…11011110001101
3100020011021221020
413321013132031
5232344211300
621050024353
73165331452
oct771073615
9306137836
10132413325
1168820100
12384180b9
13215820a5
141382b829
15b9588a0
hex7e4778d

132413325 has 36 divisors (see below), whose sum is σ = 240651264. Its totient is φ = 64196000.

The previous prime is 132413321. The next prime is 132413327. The reversal of 132413325 is 523314231.

It is not a de Polignac number, because 132413325 - 22 = 132413321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132413295 and 132413304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132413321) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1780 + ... + 16370.

Almost surely, 2132413325 is an apocalyptic number.

132413325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132413325 is a deficient number, since it is larger than the sum of its proper divisors (108237939).

132413325 is a wasteful number, since it uses less digits than its factorization.

132413325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14626 (or 14610 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 132413325 is about 11507.0988958990. The cubic root of 132413325 is about 509.6952235148.

Adding to 132413325 its reverse (523314231), we get a palindrome (655727556).

It can be divided in two parts, 1 and 32413325, that added together give a triangular number (32413326 = T8051).

The spelling of 132413325 in words is "one hundred thirty-two million, four hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 121 165 275 363 605 825 1815 3025 9075 14591 43773 72955 160501 218865 364775 481503 802505 1094325 1765511 2407515 4012525 5296533 8827555 12037575 26482665 44137775 132413325