Search a number
-
+
10259693 = 371491861
BaseRepresentation
bin100111001000…
…110011101101
3201022020122122
4213020303231
510111302233
61003522325
7153130433
oct47106355
921266578
1010259693
115878294
1235293a5
132182b32
141510d53
15d79d98
hex9c8ced

10259693 has 8 divisors (see below), whose sum is σ = 10613400. Its totient is φ = 9910080.

The previous prime is 10259663. The next prime is 10259699. The reversal of 10259693 is 39695201.

It can be written as a sum of positive squares in 4 ways, for example, as 6889 + 10252804 = 83^2 + 3202^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10259693 - 214 = 10243309 is a prime.

It is a super-2 number, since 2×102596932 = 210522600908498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10259699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4583 + ... + 6443.

It is an arithmetic number, because the mean of its divisors is an integer number (1326675).

Almost surely, 210259693 is an apocalyptic number.

It is an amenable number.

10259693 is a deficient number, since it is larger than the sum of its proper divisors (353707).

10259693 is a wasteful number, since it uses less digits than its factorization.

10259693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047.

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 10259693 is about 3203.0755532769. The cubic root of 10259693 is about 217.2925259824.

It can be divided in two parts, 102 and 59693, that added together give a palindrome (59795).

The spelling of 10259693 in words is "ten million, two hundred fifty-nine thousand, six hundred ninety-three".

Divisors: 1 37 149 1861 5513 68857 277289 10259693