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831036420 = 2232522920161
BaseRepresentation
bin110001100010001…
…001110000000100
32010220202000122200
4301202021300010
53200221131140
6214243554500
726410456464
oct6142116004
92126660580
10831036420
11397109a65
121b238ba30
1310322b836
147c527ba4
154ce58030
hex31889c04

831036420 has 72 divisors (see below), whose sum is σ = 2531943960. Its totient is φ = 220631040.

The previous prime is 831036419. The next prime is 831036431. The reversal of 831036420 is 24630138.

It is a happy number.

831036420 is a `hidden beast` number, since 8 + 3 + 10 + 3 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312016896 + 519019524 = 17664^2 + 22782^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31140 + ... + 51300.

Almost surely, 2831036420 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 831036420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265971980).

831036420 is an abundant number, since it is smaller than the sum of its proper divisors (1700907540).

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

831036420 is a wasteful number, since it uses less digits than its factorization.

831036420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20405 (or 20400 counting only the distinct ones).

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

The square root of 831036420 is about 28827.7023017791. The cubic root of 831036420 is about 940.1706420252.

Adding to 831036420 its reverse (24630138), we get a palindrome (855666558).

The spelling of 831036420 in words is "eight hundred thirty-one million, thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6870 8244 10305 13740 20161 20610 40322 41220 60483 80644 100805 120966 181449 201610 241932 302415 362898 403220 604830 725796 907245 1209660 1814490 3628980 4616869 9233738 13850607 18467476 23084345 27701214 41551821 46168690 55402428 69253035 83103642 92337380 138506070 166207284 207759105 277012140 415518210 831036420