Search a number
-
+
10397250 = 232534621
BaseRepresentation
bin100111101010…
…011001000010
3201120020100100
4213222121002
510130203000
61010503230
7154242453
oct47523102
921506310
1010397250
115961676
123594b16
132200626
14154912a
15da5a00
hex9ea642

10397250 has 48 divisors (see below), whose sum is σ = 28120248. Its totient is φ = 2772000.

The previous prime is 10397249. The next prime is 10397263. The reversal of 10397250 is 5279301.

It can be written as a sum of positive squares in 4 ways, for example, as 2461761 + 7935489 = 1569^2 + 2817^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61 + ... + 4560.

Almost surely, 210397250 is an apocalyptic number.

10397250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10397250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060124).

10397250 is an abundant number, since it is smaller than the sum of its proper divisors (17722998).

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

10397250 is a wasteful number, since it uses less digits than its factorization.

10397250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 10397250 is about 3224.4767017301. The cubic root of 10397250 is about 218.2593356186.

The spelling of 10397250 in words is "ten million, three hundred ninety-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 1125 2250 4621 9242 13863 23105 27726 41589 46210 69315 83178 115525 138630 207945 231050 346575 415890 577625 693150 1039725 1155250 1732875 2079450 3465750 5198625 10397250