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10299744 = 2533713131
BaseRepresentation
bin100111010010…
…100101100000
3201101021121000
4213102211200
510114042434
61004432000
7153355260
oct47224540
921337530
1010299744
1158a5394
123548600
132198130
1415217a0
15d86b99
hex9d2960

10299744 has 192 divisors, whose sum is σ = 37255680. Its totient is φ = 2695680.

The previous prime is 10299743. The next prime is 10299763. The reversal of 10299744 is 44799201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10299699 and 10299708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10299743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78559 + ... + 78689.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 210299744 is an apocalyptic number.

10299744 is a gapful number since it is divisible by the number (14) 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 10299744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

10299744 is an abundant number, since it is smaller than the sum of its proper divisors (26955936).

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

10299744 is a wasteful number, since it uses less digits than its factorization.

10299744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10299744 is about 3209.3214236034. The cubic root of 10299744 is about 217.5749087995.

It can be divided in two parts, 102997 and 44, that added together give a square (103041 = 3212).

The spelling of 10299744 in words is "ten million, two hundred ninety-nine thousand, seven hundred forty-four".