Search a number
-
+
132131415 = 35131921877
BaseRepresentation
bin1111110000000…
…10101001010111
3100012121222020010
413320002221113
5232311201130
621040011303
73163045533
oct770025127
9305558203
10132131415
1168648319
1238300b33
13214b3990
1413796bc3
15b9000b0
hex7e02a57

132131415 has 48 divisors (see below), whose sum is σ = 240414048. Its totient is φ = 61592832.

The previous prime is 132131407. The next prime is 132131443. The reversal of 132131415 is 514131231.

It is not a de Polignac number, because 132131415 - 23 = 132131407 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132131391 and 132131400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69457 + ... + 71333.

It is an arithmetic number, because the mean of its divisors is an integer number (5008626).

Almost surely, 2132131415 is an apocalyptic number.

132131415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132131415 is a deficient number, since it is larger than the sum of its proper divisors (108282633).

132131415 is a wasteful number, since it uses less digits than its factorization.

132131415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1917 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 132131415 is about 11494.8429741341. The cubic root of 132131415 is about 509.3332501945. Note that the first 3 decimals are identical.

Adding to 132131415 its reverse (514131231), we get a palindrome (646262646).

The spelling of 132131415 in words is "one hundred thirty-two million, one hundred thirty-one thousand, four hundred fifteen".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 361 741 1083 1235 1805 1877 3705 4693 5415 5631 9385 14079 23465 24401 28155 35663 70395 73203 106989 122005 178315 366015 463619 534945 677597 1390857 2032791 2318095 3387985 6954285 8808761 10163955 26426283 44043805 132131415