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10244320 = 255431489
BaseRepresentation
bin100111000101…
…000011100000
3201021110120021
4213011003200
510110304240
61003323224
7153034552
oct47050340
921243507
1010244320
115867789
123520514
132178b38
1415094d2
15d7554a
hex9c50e0

10244320 has 48 divisors (see below), whose sum is σ = 24781680. Its totient is φ = 3999744.

The previous prime is 10244303. The next prime is 10244323. The reversal of 10244320 is 2344201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10244294 and 10244303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6136 + ... + 7624.

It is an arithmetic number, because the mean of its divisors is an integer number (516285).

Almost surely, 210244320 is an apocalyptic number.

10244320 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 10244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390840).

10244320 is an abundant number, since it is smaller than the sum of its proper divisors (14537360).

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

10244320 is a wasteful number, since it uses less digits than its factorization.

10244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10244320 is about 3200.6749288236. The cubic root of 10244320 is about 217.1839422325.

Adding to 10244320 its reverse (2344201), we get a palindrome (12588521).

It can be divided in two parts, 10244 and 320, that multiplied together give a triangular number (3278080 = T2560).

The spelling of 10244320 in words is "ten million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1489 1720 2978 3440 5956 6880 7445 11912 14890 23824 29780 47648 59560 64027 119120 128054 238240 256108 320135 512216 640270 1024432 1280540 2048864 2561080 5122160 10244320