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10304420 = 225789827
BaseRepresentation
bin100111010011…
…101110100100
3201101112000012
4213103232210
510114220140
61004505352
7153405020
oct47235644
921345005
1010304420
1158a8955
12354b258
13219a2b9
141523380
15d88265
hex9d3ba4

10304420 has 48 divisors (see below), whose sum is σ = 25038720. Its totient is φ = 3489024.

The previous prime is 10304417. The next prime is 10304447. The reversal of 10304420 is 2440301.

It is a super-3 number, since 3×103044203 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10304395 and 10304404.

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 15 ways as a sum of consecutive naturals, for example, 12047 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 210304420 is an apocalyptic number.

10304420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519360).

10304420 is an abundant number, since it is smaller than the sum of its proper divisors (14734300).

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

10304420 is a wasteful number, since it uses less digits than its factorization.

10304420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10304420 is about 3210.0498438498. The cubic root of 10304420 is about 217.6078295644.

Adding to 10304420 its reverse (2440301), we get a palindrome (12744721).

The spelling of 10304420 in words is "ten million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 827 890 1246 1654 1780 2492 3115 3308 4135 5789 6230 8270 11578 12460 16540 23156 28945 57890 73603 115780 147206 294412 368015 515221 736030 1030442 1472060 2060884 2576105 5152210 10304420