Search a number
-
+
10142353 = 131745893
BaseRepresentation
bin100110101100…
…001010010001
3201002021200201
4212230022101
510044023403
61001215201
7152131354
oct46541221
921067621
1010142353
1157a8111
123491501
1321415c0
1414c029b
15d5521d
hex9ac291

10142353 has 8 divisors (see below), whose sum is σ = 11565288. Its totient is φ = 8811264.

The previous prime is 10142323. The next prime is 10142369. The reversal of 10142353 is 35324101.

It can be written as a sum of positive squares in 4 ways, for example, as 332929 + 9809424 = 577^2 + 3132^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10142353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10142353.

It is not an unprimeable number, because it can be changed into a prime (10142303) 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, 22726 + ... + 23167.

It is an arithmetic number, because the mean of its divisors is an integer number (1445661).

Almost surely, 210142353 is an apocalyptic number.

10142353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10142353 is a deficient number, since it is larger than the sum of its proper divisors (1422935).

10142353 is a wasteful number, since it uses less digits than its factorization.

10142353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45923.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 10142353 is about 3184.7061088898. The cubic root of 10142353 is about 216.4609568916.

Adding to 10142353 its reverse (35324101), we get a palindrome (45466454).

The spelling of 10142353 in words is "ten million, one hundred forty-two thousand, three hundred fifty-three".

Divisors: 1 13 17 221 45893 596609 780181 10142353