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6164240 = 245292657
BaseRepresentation
bin10111100000111100010000
3102121011202012
4113200330100
53034223430
6340042052
7103252355
oct27407420
912534665
106164240
113530315
122093328
13137a9a4
14b6662c
1581b695
hex5e0f10

6164240 has 40 divisors (see below), whose sum is σ = 14831640. Its totient is φ = 2379776.

The previous prime is 6164209. The next prime is 6164243. The reversal of 6164240 is 424616.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 5180176 = 992^2 + 2276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (6164243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992 + ... + 3648.

It is an arithmetic number, because the mean of its divisors is an integer number (370791).

Almost surely, 26164240 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 6164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415820).

6164240 is an abundant number, since it is smaller than the sum of its proper divisors (8667400).

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

6164240 is a wasteful number, since it uses less digits than its factorization.

6164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 6164240 is about 2482.7887546064. The cubic root of 6164240 is about 183.3551782969.

Adding to 6164240 its reverse (424616), we get a palindrome (6588856).

The spelling of 6164240 in words is "six million, one hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2657 5314 10628 13285 21256 26570 42512 53140 77053 106280 154106 212560 308212 385265 616424 770530 1232848 1541060 3082120 6164240