Search a number
-
+
146168080 = 2451827101
BaseRepresentation
bin10001011011001…
…01100100010000
3101012001002220121
420231211210100
5244404334310
622300520024
73423260002
oct1055454420
9335032817
10146168080
1175565273
1240b50014
13243899b6
14155ac372
15cc740da
hex8b65910

146168080 has 20 divisors (see below), whose sum is σ = 339840972. Its totient is φ = 58467200.

The previous prime is 146168027. The next prime is 146168081. The reversal of 146168080 is 80861641.

It can be written as a sum of positive squares in 2 ways, for example, as 25080064 + 121088016 = 5008^2 + 11004^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1461680802 = 42730215221772800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146168081) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 913471 + ... + 913630.

Almost surely, 2146168080 is an apocalyptic number.

146168080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146168080 is an abundant number, since it is smaller than the sum of its proper divisors (193672892).

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

146168080 is a wasteful number, since it uses less digits than its factorization.

146168080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827114 (or 1827108 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 146168080 is about 12089.9991728701. Note that the first 3 decimals coincide. The cubic root of 146168080 is about 526.7657311559.

The spelling of 146168080 in words is "one hundred forty-six million, one hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1827101 3654202 7308404 9135505 14616808 18271010 29233616 36542020 73084040 146168080