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10244820 = 2235732339
BaseRepresentation
bin100111000101…
…001011010100
3201021111020210
4213011023110
510110313240
61003325420
7153036165
oct47051324
921244223
1010244820
1158680a3
123520870
132179131
14150976c
15d75780
hex9c52d4

10244820 has 48 divisors (see below), whose sum is σ = 29090880. Its totient is φ = 2693376.

The previous prime is 10244813. The next prime is 10244831. The reversal of 10244820 is 2844201.

It is a congruent number.

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, 3211 + ... + 5549.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 210244820 is an apocalyptic number.

10244820 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 10244820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545440).

10244820 is an abundant number, since it is smaller than the sum of its proper divisors (18846060).

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

10244820 is a wasteful number, since it uses less digits than its factorization.

10244820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 10244820 is about 3200.7530363963. The cubic root of 10244820 is about 217.1874755792.

The spelling of 10244820 in words is "ten million, two hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 2339 4380 4678 7017 9356 11695 14034 23390 28068 35085 46780 70170 140340 170747 341494 512241 682988 853735 1024482 1707470 2048964 2561205 3414940 5122410 10244820