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663144 = 23327631
BaseRepresentation
bin10100001111001101000
31020200122220
42201321220
5132210034
622114040
75431236
oct2417150
91220586
10663144
11413259
1227b920
131a2ac1
14133956
15d1749
hexa1e68

663144 has 16 divisors (see below), whose sum is σ = 1657920. Its totient is φ = 221040.

The previous prime is 663127. The next prime is 663149. The reversal of 663144 is 441366.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 27631 = 663144 / (6 + 6 + 3 + 1 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (663149) by changing a digit.

663144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13792 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (103620).

2663144 is an apocalyptic number.

It is an amenable number.

663144 is an abundant number, since it is smaller than the sum of its proper divisors (994776).

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

663144 is a wasteful number, since it uses less digits than its factorization.

663144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27640 (or 27636 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 663144 is about 814.3365397672. The cubic root of 663144 is about 87.2039080256.

The spelling of 663144 in words is "six hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 27631 55262 82893 110524 165786 221048 331572 663144