Search a number
-
+
132293440 = 265413417
BaseRepresentation
bin1111110001010…
…10001101000000
3100012221012111001
413320222031000
5232331342230
621043301344
73164322106
oct770521500
9305835431
10132293440
1168749024
123837a854
132153c656
14137d9c76
15b9330ca
hex7e2a340

132293440 has 28 divisors (see below), whose sum is σ = 315024516. Its totient is φ = 52917248.

The previous prime is 132293437. The next prime is 132293449. The reversal of 132293440 is 44392231.

It can be written as a sum of positive squares in 2 ways, for example, as 51724864 + 80568576 = 7192^2 + 8976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132293399 and 132293408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132293449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206389 + ... + 207028.

Almost surely, 2132293440 is an apocalyptic number.

132293440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132293440 is an abundant number, since it is smaller than the sum of its proper divisors (182731076).

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

132293440 is an equidigital number, since it uses as much as digits as its factorization.

132293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413434 (or 413424 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 132293440 is about 11501.8885405832. Note that the first 3 decimals coincide. The cubic root of 132293440 is about 509.5413536474.

The spelling of 132293440 in words is "one hundred thirty-two million, two hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 413417 826834 1653668 2067085 3307336 4134170 6614672 8268340 13229344 16536680 26458688 33073360 66146720 132293440