Search a number
-
+
6996465 = 3257219167
BaseRepresentation
bin11010101100000111110001
3111011110100100
4122230013301
53242341330
6405543013
7113316600
oct32540761
914143310
106996465
113a49603
122414a69
1315ac728
14d01a37
15933060
hex6ac1f1

6996465 has 72 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 3011904.

The previous prime is 6996461. The next prime is 6996491. The reversal of 6996465 is 5646996.

6996465 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6996465 - 22 = 6996461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

6996465 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 6996465.

It is not an unprimeable number, because it can be changed into a prime (6996461) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41812 + ... + 41978.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 26996465 is an apocalyptic number.

It is an amenable number.

6996465 is an abundant number, since it is smaller than the sum of its proper divisors (7942095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6996465 is a wasteful number, since it uses less digits than its factorization.

6996465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 6996465 is about 2645.0831744957. The cubic root of 6996465 is about 191.2609118470.

The spelling of 6996465 in words is "six million, nine hundred ninety-six thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 167 171 245 285 315 399 441 501 665 735 835 855 931 1169 1197 1503 1995 2205 2505 2793 3173 3507 4655 5845 5985 7515 8183 8379 9519 10521 13965 15865 17535 22211 24549 28557 40915 41895 47595 52605 66633 73647 111055 122745 142785 155477 199899 333165 368235 466431 777385 999495 1399293 2332155 6996465