Search a number
-
+
455124 = 223172397
BaseRepresentation
bin1101111000111010100
3212010022110
41233013110
5104030444
613431020
73603615
oct1570724
9763273
10455124
11290a3a
1219b470
1312c207
14bbc0c
158ecb9
hex6f1d4

455124 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 135168.

The previous prime is 455123. The next prime is 455149. The reversal of 455124 is 421554.

455124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 455124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4644 + ... + 4740.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2455124 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 455124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

455124 is an abundant number, since it is smaller than the sum of its proper divisors (730284).

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

455124 is a wasteful number, since it uses less digits than its factorization.

455124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its digits is 800, while the sum is 21.

The square root of 455124 is about 674.6287868154. The cubic root of 455124 is about 76.9207032088.

Adding to 455124 its reverse (421554), we get a palindrome (876678).

The spelling of 455124 in words is "four hundred fifty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 97 102 138 194 204 276 291 388 391 582 782 1164 1173 1564 1649 2231 2346 3298 4462 4692 4947 6596 6693 8924 9894 13386 19788 26772 37927 75854 113781 151708 227562 455124