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830466 = 2337133
BaseRepresentation
bin11001010110000000010
31120012012000
43022300002
5203033331
625444430
710026120
oct3126002
91505160
10830466
11517a3a
12340716
13231000
14178910
151160e6
hexcac02

830466 has 64 divisors (see below), whose sum is σ = 2284800. Its totient is φ = 219024.

The previous prime is 830449. The next prime is 830477. The reversal of 830466 is 664038.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63876 + ... + 63888.

It is an arithmetic number, because the mean of its divisors is an integer number (35700).

2830466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142400).

830466 is an abundant number, since it is smaller than the sum of its proper divisors (1454334).

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

830466 is a wasteful number, since it uses less digits than its factorization.

830466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 830466 is about 911.2990727527. The cubic root of 830466 is about 93.9955483028.

It can be divided in two parts, 830 and 466, that added together give a 4-th power (1296 = 64).

The spelling of 830466 in words is "eight hundred thirty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 169 182 189 234 273 338 351 378 507 546 702 819 1014 1183 1521 1638 2197 2366 2457 3042 3549 4394 4563 4914 6591 7098 9126 10647 13182 15379 19773 21294 30758 31941 39546 46137 59319 63882 92274 118638 138411 276822 415233 830466