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6220416 = 27397167
BaseRepresentation
bin10111101110101010000000
3102201000210210
4113232222000
53043023131
6341154120
7103605216
oct27565200
912630723
106220416
113569544
1220bb940
13139a427
14b7ccb6
1582d146
hex5eea80

6220416 has 64 divisors (see below), whose sum is σ = 16793280. Its totient is φ = 2039808.

The previous prime is 6220411. The next prime is 6220421. The reversal of 6220416 is 6140226.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6220411) and next prime (6220421).

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6220392 and 6220401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6220411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37165 + ... + 37331.

It is an arithmetic number, because the mean of its divisors is an integer number (262395).

Almost surely, 26220416 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 6220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396640).

6220416 is an abundant number, since it is smaller than the sum of its proper divisors (10572864).

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

6220416 is a wasteful number, since it uses less digits than its factorization.

6220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6220416 is about 2494.0761816753. The cubic root of 6220416 is about 183.9104794525.

The spelling of 6220416 in words is "six million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 167 192 194 291 334 384 388 501 582 668 776 1002 1164 1336 1552 2004 2328 2672 3104 4008 4656 5344 6208 8016 9312 10688 12416 16032 16199 18624 21376 32064 32398 37248 48597 64128 64796 97194 129592 194388 259184 388776 518368 777552 1036736 1555104 2073472 3110208 6220416