Search a number
-
+
460428 = 223173761
BaseRepresentation
bin1110000011010001100
3212101120220
41300122030
5104213203
613511340
73625233
oct1603214
9771526
10460428
11294a21
121a2550
13131757
14bdb1a
1591653
hex7068c

460428 has 48 divisors (see below), whose sum is σ = 1187424. Its totient is φ = 138240.

The previous prime is 460417. The next prime is 460451. The reversal of 460428 is 824064.

It is a junction number, because it is equal to n+sod(n) for n = 460398 and 460407.

It is an unprimeable number.

460428 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, 7518 + ... + 7578.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2460428 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 460428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712).

460428 is an abundant number, since it is smaller than the sum of its proper divisors (726996).

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

460428 is a wasteful number, since it uses less digits than its factorization.

460428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 460428 is about 678.5484507388. The cubic root of 460428 is about 77.2183603319.

It can be divided in two parts, 460 and 428, that added together give a palindrome (888).

The spelling of 460428 in words is "four hundred sixty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 51 61 68 74 102 111 122 148 183 204 222 244 366 444 629 732 1037 1258 1887 2074 2257 2516 3111 3774 4148 4514 6222 6771 7548 9028 12444 13542 27084 38369 76738 115107 153476 230214 460428