Search a number
-
+
4213368 = 2332139421
BaseRepresentation
bin10000000100101001111000
321221001122200
4100010221320
52034311433
6230150200
750545605
oct20045170
97831580
104213368
112418625
1214b2360
13b46a23
147b96ac
15583613
hex404a78

4213368 has 48 divisors (see below), whose sum is σ = 11520600. Its totient is φ = 1391040.

The previous prime is 4213357. The next prime is 4213369. The reversal of 4213368 is 8633124.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9798 + ... + 10218.

Almost surely, 24213368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760300).

4213368 is an abundant number, since it is smaller than the sum of its proper divisors (7307232).

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

4213368 is a wasteful number, since it uses less digits than its factorization.

4213368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 565 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4213368 is about 2052.6490201688. The cubic root of 4213368 is about 161.5138604085.

The spelling of 4213368 in words is "four million, two hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 421 556 834 842 1112 1251 1263 1668 1684 2502 2526 3336 3368 3789 5004 5052 7578 10008 10104 15156 30312 58519 117038 175557 234076 351114 468152 526671 702228 1053342 1404456 2106684 4213368