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10304120 = 2354161103
BaseRepresentation
bin100111010011…
…101001111000
3201101111121002
4213103221320
510114212440
61004504132
7153404111
oct47235170
921344532
1010304120
1158a8702
12354b048
13219a118
141523208
15d88115
hex9d3a78

10304120 has 64 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 3916800.

The previous prime is 10304117. The next prime is 10304141. The reversal of 10304120 is 2140301.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 99989 + ... + 100091.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 210304120 is an apocalyptic number.

10304120 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 10304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

10304120 is an abundant number, since it is smaller than the sum of its proper divisors (14069320).

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

10304120 is a wasteful number, since it uses less digits than its factorization.

10304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10304120 is about 3210.0031152633. The cubic root of 10304120 is about 217.6057177527.

Adding to 10304120 its reverse (2140301), we get a palindrome (12444421).

It can be divided in two parts, 1030 and 4120, that multiplied together give a square (4243600 = 20602).

The spelling of 10304120 in words is "ten million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 103 122 164 205 206 244 305 328 410 412 488 515 610 820 824 1030 1220 1640 2060 2440 2501 4120 4223 5002 6283 8446 10004 12505 12566 16892 20008 21115 25010 25132 31415 33784 42230 50020 50264 62830 84460 100040 125660 168920 251320 257603 515206 1030412 1288015 2060824 2576030 5152060 10304120