Search a number
-
+
2004216 = 23337261
BaseRepresentation
bin111101001010011111000
310202211021020
413221103320
51003113331
6110542440
723015124
oct7512370
93684236
102004216
111149885
12807a20
13552336
143a2584
15298c96
hex1e94f8

2004216 has 48 divisors (see below), whose sum is σ = 5234040. Its totient is φ = 639360.

The previous prime is 2004209. The next prime is 2004227. The reversal of 2004216 is 6124002.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2004195 and 2004204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32826 + ... + 32886.

22004216 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 2004216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617020).

2004216 is an abundant number, since it is smaller than the sum of its proper divisors (3229824).

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

2004216 is a wasteful number, since it uses less digits than its factorization.

2004216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2004216 is about 1415.7033587585. The cubic root of 2004216 is about 126.0805733073.

Adding to 2004216 its reverse (6124002), we get a palindrome (8128218).

The spelling of 2004216 in words is "two million, four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 183 222 244 296 366 444 488 732 888 1369 1464 2257 2738 4107 4514 5476 6771 8214 9028 10952 13542 16428 18056 27084 32856 54168 83509 167018 250527 334036 501054 668072 1002108 2004216