Search a number
-
+
4216840 = 235472243
BaseRepresentation
bin10000000101100000001000
321221020102021
4100011200020
52034414330
6230214224
750561665
oct20054010
97836367
104216840
1124201a1
1214b4374
13b48494
147baa6c
1558467a
hex405808

4216840 has 32 divisors (see below), whose sum is σ = 9694080. Its totient is φ = 1650112.

The previous prime is 4216819. The next prime is 4216847. The reversal of 4216840 is 486124.

It is not an unprimeable number, because it can be changed into a prime (4216847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759 + ... + 3001.

It is an arithmetic number, because the mean of its divisors is an integer number (302940).

Almost surely, 24216840 is an apocalyptic number.

4216840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4216840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847040).

4216840 is an abundant number, since it is smaller than the sum of its proper divisors (5477240).

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

4216840 is a wasteful number, since it uses less digits than its factorization.

4216840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4216840 is about 2053.4945824131. The cubic root of 4216840 is about 161.5582130625.

The spelling of 4216840 in words is "four million, two hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2243 4486 8972 11215 17944 22430 44860 89720 105421 210842 421684 527105 843368 1054210 2108420 4216840