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830076 = 2231317313
BaseRepresentation
bin11001010101001111100
31120011122120
43022221330
5203030301
625442540
710025022
oct3125174
91504576
10830076
11517715
12340450
13230a90
14178712
15115e36
hexcaa7c

830076 has 48 divisors (see below), whose sum is σ = 2215584. Its totient is φ = 239616.

The previous prime is 830051. The next prime is 830099. The reversal of 830076 is 670038.

830076 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 830076.

It is an unprimeable number.

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, 2496 + ... + 2808.

It is an arithmetic number, because the mean of its divisors is an integer number (46158).

2830076 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 830076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107792).

830076 is an abundant number, since it is smaller than the sum of its proper divisors (1385508).

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

830076 is a wasteful number, since it uses less digits than its factorization.

830076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 830076 is about 911.0850673785. The cubic root of 830076 is about 93.9808320657.

The spelling of 830076 in words is "eight hundred thirty thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 313 442 626 663 884 939 1252 1326 1878 2652 3756 4069 5321 8138 10642 12207 15963 16276 21284 24414 31926 48828 63852 69173 138346 207519 276692 415038 830076