Search a number
-
+
1679842010 = 257211311659
BaseRepresentation
bin110010000100000…
…0101101011011010
311100001220211000202
41210020011223122
511420014421020
6434404502202
756425264400
oct14410055332
94301824022
101679842010
11792255190
123aa6aa962
1320a03c272
1411d159470
159c720e75
hex64205ada

1679842010 has 48 divisors (see below), whose sum is σ = 3837157920. Its totient is φ = 523585440.

The previous prime is 1679841991. The next prime is 1679842019. The reversal of 1679842010 is 102489761.

It is not an unprimeable number, because it can be changed into a prime (1679842019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150440 + ... + 161219.

It is an arithmetic number, because the mean of its divisors is an integer number (79940790).

Almost surely, 21679842010 is an apocalyptic number.

1679842010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1679842010 is an abundant number, since it is smaller than the sum of its proper divisors (2157315910).

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

1679842010 is a wasteful number, since it uses less digits than its factorization.

1679842010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311691 (or 311684 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 1679842010 is about 40985.8757378685. The cubic root of 1679842010 is about 1188.7471242959.

The spelling of 1679842010 in words is "one billion, six hundred seventy-nine million, eight hundred forty-two thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 2695 5390 311659 623318 1558295 2181613 3116590 3428249 4363226 6856498 10908065 15271291 17141245 21816130 23997743 30542582 34282490 47995486 76356455 119988715 152712910 167984201 239977430 335968402 839921005 1679842010