Search a number
-
+
132040314 = 2337349313
BaseRepresentation
bin1111101111011…
…00011001111010
3100012110100021000
413313230121322
5232300242224
621034025430
73162216120
oct767543172
9305410230
10132040314
116859592a
1238278276
1321481383
1413771910
15b8d30c9
hex7dec67a

132040314 has 32 divisors (see below), whose sum is σ = 335341440. Its totient is φ = 37725696.

The previous prime is 132040313. The next prime is 132040339. The reversal of 132040314 is 413040231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132040313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174279 + ... + 175034.

It is an arithmetic number, because the mean of its divisors is an integer number (10479420).

Almost surely, 2132040314 is an apocalyptic number.

132040314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132040314 is an abundant number, since it is smaller than the sum of its proper divisors (203301126).

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

132040314 is a wasteful number, since it uses less digits than its factorization.

132040314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349331 (or 349325 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132040314 is about 11490.8796007965. The cubic root of 132040314 is about 509.2161661624.

Adding to 132040314 its reverse (413040231), we get a palindrome (545080545).

The spelling of 132040314 in words is "one hundred thirty-two million, forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 349313 698626 1047939 2095878 2445191 3143817 4890382 6287634 7335573 9431451 14671146 18862902 22006719 44013438 66020157 132040314