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10000744 = 23133569
BaseRepresentation
bin100110001001…
…100101101000
3200211002102221
4212021211220
510030010434
6554203424
7151001455
oct46114550
920732387
1010000744
115710786
123423574
1320c2000
14148482c
15d282b4
hex989968

10000744 has 32 divisors (see below), whose sum is σ = 20349000. Its totient is φ = 4607616.

The previous prime is 10000741. The next prime is 10000747. The reversal of 10000744 is 44700001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10000741) and next prime (10000747).

It can be written as a sum of positive squares in 4 ways, for example, as 2500 + 9998244 = 50^2 + 3162^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000741) 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, 17292 + ... + 17860.

Almost surely, 210000744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10174500).

10000744 is an abundant number, since it is smaller than the sum of its proper divisors (10348256).

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

10000744 is an equidigital number, since it uses as much as digits as its factorization.

10000744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 10000744 is about 3162.3952947094. The cubic root of 10000744 is about 215.4488118687.

Adding to 10000744 its reverse (44700001), we get a palindrome (54700745).

The spelling of 10000744 in words is "ten million, seven hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 104 169 338 569 676 1138 1352 2197 2276 4394 4552 7397 8788 14794 17576 29588 59176 96161 192322 384644 769288 1250093 2500186 5000372 10000744