Search a number
-
+
146891008 = 281152163
BaseRepresentation
bin10001100000101…
…10000100000000
3101020101211120201
420300112010000
5300101003013
622324214544
73432360445
oct1060260400
9336354521
10146891008
1175a09430
124123a454
1324580a74
14157199cc
15cd683dd
hex8c16100

146891008 has 36 divisors (see below), whose sum is σ = 319869648. Its totient is φ = 66767360.

The previous prime is 146890951. The next prime is 146891009. The reversal of 146891008 is 800198641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146891009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23266 + ... + 28897.

It is an arithmetic number, because the mean of its divisors is an integer number (8885268).

Almost surely, 2146891008 is an apocalyptic number.

It is an amenable number.

146891008 is an abundant number, since it is smaller than the sum of its proper divisors (172978640).

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

146891008 is an equidigital number, since it uses as much as digits as its factorization.

146891008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52190 (or 52176 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 146891008 is about 12119.8600651988. The cubic root of 146891008 is about 527.6327412396.

The spelling of 146891008 in words is "one hundred forty-six million, eight hundred ninety-one thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 52163 104326 208652 417304 573793 834608 1147586 1669216 2295172 3338432 4590344 6676864 9180688 13353728 18361376 36722752 73445504 146891008