Search a number
-
+
146433664 = 271388001
BaseRepresentation
bin10001011101001…
…10011010000000
3101012112121020001
420232212122000
5244441334124
622310325344
73425444206
oct1056463200
9335477201
10146433664
1175726863
1241059854
1324450850
141563b076
15ccc7b44
hex8ba6680

146433664 has 32 divisors (see below), whose sum is σ = 314167140. Its totient is φ = 67584000.

The previous prime is 146433643. The next prime is 146433671. The reversal of 146433664 is 466334641.

It can be written as a sum of positive squares in 2 ways, for example, as 107993664 + 38440000 = 10392^2 + 6200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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, 42337 + ... + 45664.

Almost surely, 2146433664 is an apocalyptic number.

It is an amenable number.

146433664 is an abundant number, since it is smaller than the sum of its proper divisors (167733476).

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

146433664 is an equidigital number, since it uses as much as digits as its factorization.

146433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88028 (or 88016 counting only the distinct ones).

The product of its digits is 124416, while the sum is 37.

The square root of 146433664 is about 12100.9778117308. The cubic root of 146433664 is about 527.0845784796.

The spelling of 146433664 in words is "one hundred forty-six million, four hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 88001 176002 352004 704008 1144013 1408016 2288026 2816032 4576052 5632064 9152104 11264128 18304208 36608416 73216832 146433664