Search a number
-
+
132123440 = 2457192297
BaseRepresentation
bin1111110000000…
…00101100110000
3100012121120021202
413320000230300
5232310422230
621035510332
73163013351
oct770005460
9305546252
10132123440
1168642329
12382b83a8
13214b0167
1413793d28
15b8eca45
hex7e00b30

132123440 has 40 divisors (see below), whose sum is σ = 307748160. Its totient is φ = 52752896.

The previous prime is 132123427. The next prime is 132123451. The reversal of 132123440 is 44321231.

132123440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 56372 + ... + 58668.

It is an arithmetic number, because the mean of its divisors is an integer number (7693704).

Almost surely, 2132123440 is an apocalyptic number.

132123440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132123440 is an abundant number, since it is smaller than the sum of its proper divisors (175624720).

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

132123440 is a wasteful number, since it uses less digits than its factorization.

132123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 132123440 is about 11494.4960742087. The cubic root of 132123440 is about 509.3230027844.

Adding to 132123440 its reverse (44321231), we get a palindrome (176444671).

The spelling of 132123440 in words is "one hundred thirty-two million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 719 1438 2297 2876 3595 4594 5752 7190 9188 11485 11504 14380 18376 22970 28760 36752 45940 57520 91880 183760 1651543 3303086 6606172 8257715 13212344 16515430 26424688 33030860 66061720 132123440