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831420 = 2232531149
BaseRepresentation
bin11001010111110111100
31120020111100
43022332330
5203101140
625453100
710031652
oct3127674
91506440
10831420
11518727
12341190
13231585
14178dd2
15116530
hexcafbc

831420 has 72 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 213120.

The previous prime is 831409. The next prime is 831431. The reversal of 831420 is 24138.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (831409) and next prime (831431).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 831393 and 831402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5506 + ... + 5654.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2831420 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 831420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

831420 is an abundant number, since it is smaller than the sum of its proper divisors (1789380).

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

831420 is a wasteful number, since it uses less digits than its factorization.

831420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 831420 is about 911.8223511189. The cubic root of 831420 is about 94.0315270738.

Adding to 831420 its reverse (24138), we get a palindrome (855558).

The spelling of 831420 in words is "eight hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 149 155 180 186 279 298 310 372 447 465 558 596 620 745 894 930 1116 1341 1395 1490 1788 1860 2235 2682 2790 2980 4470 4619 5364 5580 6705 8940 9238 13410 13857 18476 23095 26820 27714 41571 46190 55428 69285 83142 92380 138570 166284 207855 277140 415710 831420