Search a number
-
+
146198268 = 22327355631
BaseRepresentation
bin10001011011011…
…00111011111100
3101012002122022200
420231230323330
5244411321033
622301311500
73423444006
oct1055547374
9335078280
10146198268
1175585a17
1240b65590
132439a668
14155b9376
15cc7d013
hex8b6cefc

146198268 has 36 divisors (see below), whose sum is σ = 374625888. Its totient is φ = 48064320.

The previous prime is 146198257. The next prime is 146198279. The reversal of 146198268 is 862891641.

146198268 is a `hidden beast` number, since 1 + 4 + 619 + 8 + 26 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (146198257) and next prime (146198279).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25188 + ... + 30443.

Almost surely, 2146198268 is an apocalyptic number.

146198268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146198268 is an abundant number, since it is smaller than the sum of its proper divisors (228427620).

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

146198268 is a wasteful number, since it uses less digits than its factorization.

146198268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55714 (or 55709 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 146198268 is about 12091.2475783105. The cubic root of 146198268 is about 526.8019928561.

The spelling of 146198268 in words is "one hundred forty-six million, one hundred ninety-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 55631 111262 166893 222524 333786 500679 667572 1001358 2002716 4061063 8122126 12183189 16244252 24366378 36549567 48732756 73099134 146198268