Search a number
-
+
450606 = 231353109
BaseRepresentation
bin1101110000000101110
3211220010010
41232000232
5103404411
613354050
73554502
oct1560056
9756103
10450606
11288602
12198926
1312a140
14ba302
158d7a6
hex6e02e

450606 has 32 divisors (see below), whose sum is σ = 997920. Its totient is φ = 134784.

The previous prime is 450601. The next prime is 450617. The reversal of 450606 is 606054.

450606 = T103 + T104 + ... + T155.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450601) by changing a digit.

450606 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 15 ways as a sum of consecutive naturals, for example, 4080 + ... + 4188.

It is an arithmetic number, because the mean of its divisors is an integer number (31185).

2450606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

450606 is an abundant number, since it is smaller than the sum of its proper divisors (547314).

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

450606 is a wasteful number, since it uses less digits than its factorization.

450606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 450606 is about 671.2719270162. The cubic root of 450606 is about 76.6653265886.

The spelling of 450606 in words is "four hundred fifty thousand, six hundred six".

Divisors: 1 2 3 6 13 26 39 53 78 106 109 159 218 318 327 654 689 1378 1417 2067 2834 4134 4251 5777 8502 11554 17331 34662 75101 150202 225303 450606