Search a number
-
+
663380 = 22541809
BaseRepresentation
bin10100001111101010100
31020200222122
42201331110
5132212010
622115112
75432024
oct2417524
91220878
10663380
11413453
1227ba98
131a2c43
14133a84
15d1855
hexa1f54

663380 has 24 divisors (see below), whose sum is σ = 1428840. Its totient is φ = 258560.

The previous prime is 663371. The next prime is 663407. The reversal of 663380 is 83366.

663380 = T159 + T160 + ... + T199.

663380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42436 + 620944 = 206^2 + 788^2 .

It is a congruent number.

It is an unprimeable number.

663380 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 7 ways as a sum of consecutive naturals, for example, 416 + ... + 1224.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

2663380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714420).

663380 is an abundant number, since it is smaller than the sum of its proper divisors (765460).

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

663380 is a wasteful number, since it uses less digits than its factorization.

663380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 663380 is about 814.4814301137. The cubic root of 663380 is about 87.2142515214.

The spelling of 663380 in words is "six hundred sixty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 809 820 1618 3236 4045 8090 16180 33169 66338 132676 165845 331690 663380