Search a number
-
+
4116315 = 357197199
BaseRepresentation
bin1111101100111101011011
321202010112010
433230331123
52023210230
6224121003
746662630
oct17547533
97663463
104116315
112361715
121466163
13b117b8
14792187
155649b0
hex3ecf5b

4116315 has 32 divisors (see below), whose sum is σ = 7603200. Its totient is φ = 1862784.

The previous prime is 4116313. The next prime is 4116317. The reversal of 4116315 is 5136114.

It is an interprime number because it is at equal distance from previous prime (4116313) and next prime (4116317).

It is not a de Polignac number, because 4116315 - 21 = 4116313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

4116315 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4116291 and 4116300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20586 + ... + 20784.

It is an arithmetic number, because the mean of its divisors is an integer number (237600).

Almost surely, 24116315 is an apocalyptic number.

4116315 is a deficient number, since it is larger than the sum of its proper divisors (3486885).

4116315 is a wasteful number, since it uses less digits than its factorization.

4116315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411.

The product of its digits is 360, while the sum is 21.

The square root of 4116315 is about 2028.8703753567. The cubic root of 4116315 is about 160.2640821183.

The spelling of 4116315 in words is "four million, one hundred sixteen thousand, three hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 197 199 591 597 985 995 1379 1393 2955 2985 4137 4179 6895 6965 20685 20895 39203 117609 196015 274421 588045 823263 1372105 4116315