Search a number
-
+
10137325 = 5211191193
BaseRepresentation
bin100110101010…
…111011101101
3201002000210111
4212222323231
510043343300
61001140021
7152110612
oct46527355
921060714
1010137325
1157a4360
12348a611
13213c223
1414bc509
15d539ba
hex9aaeed

10137325 has 24 divisors (see below), whose sum is σ = 13856256. Its totient is φ = 7296000.

The previous prime is 10137311. The next prime is 10137329. The reversal of 10137325 is 52373101.

It is a de Polignac number, because none of the positive numbers 2k-10137325 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10137296 and 10137305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10137329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52429 + ... + 52621.

It is an arithmetic number, because the mean of its divisors is an integer number (577344).

Almost surely, 210137325 is an apocalyptic number.

It is an amenable number.

10137325 is a deficient number, since it is larger than the sum of its proper divisors (3718931).

10137325 is a wasteful number, since it uses less digits than its factorization.

10137325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 10137325 is about 3183.9166132297. The cubic root of 10137325 is about 216.4251813146.

It can be divided in two parts, 1013 and 7325, that added together give a palindrome (8338).

The spelling of 10137325 in words is "ten million, one hundred thirty-seven thousand, three hundred twenty-five".

Divisors: 1 5 11 25 55 191 193 275 955 965 2101 2123 4775 4825 10505 10615 36863 52525 53075 184315 405493 921575 2027465 10137325