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10296740 = 2252941433
BaseRepresentation
bin100111010001…
…110110100100
3201101010110202
4213101312210
510113443430
61004410032
7153343436
oct47216644
921333422
1010296740
1158a3103
123546918
13219695c
141520656
15d85d45
hex9d1da4

10296740 has 48 divisors (see below), whose sum is σ = 22967280. Its totient is φ = 3870720.

The previous prime is 10296733. The next prime is 10296749. The reversal of 10296740 is 4769201.

10296740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2930944 + 7365796 = 1712^2 + 2714^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10296749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23564 + ... + 23996.

It is an arithmetic number, because the mean of its divisors is an integer number (478485).

Almost surely, 210296740 is an apocalyptic number.

10296740 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 10296740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483640).

10296740 is an abundant number, since it is smaller than the sum of its proper divisors (12670540).

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

10296740 is a wasteful number, since it uses less digits than its factorization.

10296740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10296740 is about 3208.8533777660. The cubic root of 10296740 is about 217.5537542744.

The spelling of 10296740 in words is "ten million, two hundred ninety-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 433 580 820 866 1189 1732 2165 2378 4330 4756 5945 8660 11890 12557 17753 23780 25114 35506 50228 62785 71012 88765 125570 177530 251140 355060 514837 1029674 2059348 2574185 5148370 10296740