Search a number
-
+
144706572 = 22324019627
BaseRepresentation
bin10001010000000…
…00110000001100
3101002021212002200
420220000300030
5244021102242
622205321500
73404662023
oct1050006014
9332255080
10144706572
117475720a
1240566290
1323c976ba
141530b8ba
15ca8604c
hex8a00c0c

144706572 has 18 divisors (see below), whose sum is σ = 365786148. Its totient is φ = 48235512.

The previous prime is 144706559. The next prime is 144706577. The reversal of 144706572 is 275607441.

144706572 is a `hidden beast` number, since 14 + 4 + 70 + 6 + 572 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4019627 = 144706572 / (1 + 4 + 4 + 7 + 0 + 6 + 5 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (144706577) 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 5 ways as a sum of consecutive naturals, for example, 2009778 + ... + 2009849.

Almost surely, 2144706572 is an apocalyptic number.

144706572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144706572 is an abundant number, since it is smaller than the sum of its proper divisors (221079576).

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

144706572 is a wasteful number, since it uses less digits than its factorization.

144706572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019637 (or 4019632 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 144706572 is about 12029.4044740378. The cubic root of 144706572 is about 525.0041686744.

The spelling of 144706572 in words is "one hundred forty-four million, seven hundred six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 4019627 8039254 12058881 16078508 24117762 36176643 48235524 72353286 144706572