Search a number
-
+
6313681 = 1117191777
BaseRepresentation
bin11000000101011011010001
3102212202202001
4120011123101
53104014211
6343154001
7104444143
oct30053321
912782661
106313681
113622620
122145901
131400a0a
14ba4c93
1584aac1
hex6056d1

6313681 has 16 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 5114880.

The previous prime is 6313669. The next prime is 6313691. The reversal of 6313681 is 1863136.

6313681 = 592 + 602 + ... + 2672.

6313681 is a nontrivial binomial coefficient, being equal to C(3554, 2).

It is a 3-Lehmer number, since φ(6313681) divides (6313681-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 6313681 - 211 = 6311633 is a prime.

It is a super-2 number, since 2×63136812 = 79725135539522, which contains 22 as substring.

It is a deceptive number, since it divides R6313680.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6313621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2665 + ... + 4441.

It is an arithmetic number, because the mean of its divisors is an integer number (480060).

It is a Poulet number, since it divides 26313680-1.

Almost surely, 26313681 is an apocalyptic number.

6313681 is the 3553-rd triangular number and also the 1777-th hexagonal number.

6313681 is the 1185-th centered nonagonal number.

It is an amenable number.

6313681 is a deficient number, since it is larger than the sum of its proper divisors (1367279).

6313681 is a wasteful number, since it uses less digits than its factorization.

6313681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824.

The product of its digits is 2592, while the sum is 28.

The square root of 6313681 is about 2512.7039220728. The cubic root of 6313681 is about 184.8250696080.

The spelling of 6313681 in words is "six million, three hundred thirteen thousand, six hundred eighty-one".

Divisors: 1 11 17 19 187 209 323 1777 3553 19547 30209 33763 332299 371393 573971 6313681