Search a number
-
+
10313757 = 33381991
BaseRepresentation
bin100111010110…
…000000011101
3201101222211000
4213112000131
510120020012
61005020513
7153444156
oct47260035
921358730
1010313757
115904973
123554739
1321a161c
14152692d
15d8addc
hex9d601d

10313757 has 8 divisors (see below), whose sum is σ = 15279680. Its totient is φ = 6875820.

The previous prime is 10313749. The next prime is 10313759. The reversal of 10313757 is 75731301.

10313757 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10313757 - 23 = 10313749 is a prime.

It is a super-3 number, since 3×103137573 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 381991 = 10313757 / (1 + 0 + 3 + 1 + 3 + 7 + 5 + 7).

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 10313757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313759) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 190969 + ... + 191022.

It is an arithmetic number, because the mean of its divisors is an integer number (1909960).

Almost surely, 210313757 is an apocalyptic number.

It is an amenable number.

10313757 is a deficient number, since it is larger than the sum of its proper divisors (4965923).

10313757 is an equidigital number, since it uses as much as digits as its factorization.

10313757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382000 (or 381994 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 10313757 is about 3211.5038533372. The cubic root of 10313757 is about 217.6735357024.

The spelling of 10313757 in words is "ten million, three hundred thirteen thousand, seven hundred fifty-seven".

Divisors: 1 3 9 27 381991 1145973 3437919 10313757