Search a number
-
+
1006132289 = 19503105277
BaseRepresentation
bin111011111110000…
…101110001000001
32121010012211000212
4323332011301001
54030032213124
6243500523505
733634661201
oct7376056101
92533184025
101006132289
11476a32098
12240b50595
131305a6466
14978a6401
155d4e340e
hex3bf85c41

1006132289 has 8 divisors (see below), whose sum is σ = 1061202240. Its totient is φ = 951273936.

The previous prime is 1006132279. The next prime is 1006132291. The reversal of 1006132289 is 9822316001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006132289 - 220 = 1005083713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006132219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43082 + ... + 62195.

It is an arithmetic number, because the mean of its divisors is an integer number (132650280).

Almost surely, 21006132289 is an apocalyptic number.

1006132289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1006132289 is a deficient number, since it is larger than the sum of its proper divisors (55069951).

1006132289 is a wasteful number, since it uses less digits than its factorization.

1006132289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105799.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1006132289 is about 31719.5884115794. The cubic root of 1006132289 is about 1002.0399321804.

The spelling of 1006132289 in words is "one billion, six million, one hundred thirty-two thousand, two hundred eighty-nine".

Divisors: 1 19 503 9557 105277 2000263 52954331 1006132289