Search a number
-
+
661206 = 237213173
BaseRepresentation
bin10100001011011010110
31020121000010
42201123112
5132124311
622101050
75422500
oct2413326
91217003
10661206
11411857
1227a786
131a1c60
14132d70
15d0da6
hexa16d6

661206 has 48 divisors (see below), whose sum is σ = 1666224. Its totient is φ = 173376.

The previous prime is 661201. The next prime is 661217. The reversal of 661206 is 602166.

661206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 661206.

It is not an unprimeable number, because it can be changed into a prime (661201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3736 + ... + 3908.

It is an arithmetic number, because the mean of its divisors is an integer number (34713).

2661206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833112).

661206 is an abundant number, since it is smaller than the sum of its proper divisors (1005018).

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

661206 is a wasteful number, since it uses less digits than its factorization.

661206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 661206 is about 813.1457433941. The cubic root of 661206 is about 87.1188756779.

It can be divided in two parts, 6 and 61206, that multiplied together give a square (367236 = 6062).

The spelling of 661206 in words is "six hundred sixty-one thousand, two hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 173 182 273 294 346 519 546 637 1038 1211 1274 1911 2249 2422 3633 3822 4498 6747 7266 8477 13494 15743 16954 25431 31486 47229 50862 94458 110201 220402 330603 661206