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6122080 = 25583461
BaseRepresentation
bin10111010110101001100000
3102112000220201
4113112221200
53031401310
6335114544
7103015426
oct27265140
912460821
106122080
113501678
122072a54
131364743
14b55116
1580de3a
hex5d6a60

6122080 has 48 divisors (see below), whose sum is σ = 14669424. Its totient is φ = 2414080.

The previous prime is 6122063. The next prime is 6122087. The reversal of 6122080 is 802216.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6122087) 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, 13050 + ... + 13510.

It is an arithmetic number, because the mean of its divisors is an integer number (305613).

Almost surely, 26122080 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 6122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334712).

6122080 is an abundant number, since it is smaller than the sum of its proper divisors (8547344).

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

6122080 is a wasteful number, since it uses less digits than its factorization.

6122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 6122080 is about 2474.2837347402. The cubic root of 6122080 is about 182.9362055797.

Adding to 6122080 its reverse (802216), we get a palindrome (6924296).

The spelling of 6122080 in words is "six million, one hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 461 664 830 922 1328 1660 1844 2305 2656 3320 3688 4610 6640 7376 9220 13280 14752 18440 36880 38263 73760 76526 153052 191315 306104 382630 612208 765260 1224416 1530520 3061040 6122080