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10034857 = 72204793
BaseRepresentation
bin100110010001…
…111010101001
3200212211020101
4212101322221
510032103412
6555025401
7151203100
oct46217251
920784211
1010034857
115734378
12343b261
1321046b1
141493037
15d33457
hex991ea9

10034857 has 6 divisors (see below), whose sum is σ = 11673258. Its totient is φ = 8601264.

The previous prime is 10034851. The next prime is 10034887. The reversal of 10034857 is 75843001.

10034857 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8976016 + 1058841 = 2996^2 + 1029^2 .

It is a de Polignac number, because none of the positive numbers 2k-10034857 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034851) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102348 + ... + 102445.

It is an arithmetic number, because the mean of its divisors is an integer number (1945543).

Almost surely, 210034857 is an apocalyptic number.

It is an amenable number.

10034857 is a deficient number, since it is larger than the sum of its proper divisors (1638401).

10034857 is an equidigital number, since it uses as much as digits as its factorization.

10034857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204807 (or 204800 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 10034857 is about 3167.7842413902. The cubic root of 10034857 is about 215.6935024806.

Adding to 10034857 its reverse (75843001), we get a palindrome (85877858).

The spelling of 10034857 in words is "ten million, thirty-four thousand, eight hundred fifty-seven".

Divisors: 1 7 49 204793 1433551 10034857