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6145056 = 2532191123
BaseRepresentation
bin10111011100010000100000
3102120012102200
4113130100200
53033120211
6335413200
7103142421
oct27342040
912505380
106145056
113517965
122084200
131372038
14b5d648
15815b56
hex5dc420

6145056 has 72 divisors (see below), whose sum is σ = 18411120. Its totient is φ = 1938816.

The previous prime is 6145031. The next prime is 6145057. The reversal of 6145056 is 6505416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6145057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4911 + ... + 6033.

It is an arithmetic number, because the mean of its divisors is an integer number (255710).

Almost surely, 26145056 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 6145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9205560).

6145056 is an abundant number, since it is smaller than the sum of its proper divisors (12266064).

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

6145056 is a wasteful number, since it uses less digits than its factorization.

6145056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6145056 is about 2478.9223465046. The cubic root of 6145056 is about 183.1647714213.

The spelling of 6145056 in words is "six million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1123 1368 1824 2246 2736 3369 4492 5472 6738 8984 10107 13476 17968 20214 21337 26952 35936 40428 42674 53904 64011 80856 85348 107808 128022 161712 170696 192033 256044 323424 341392 384066 512088 682784 768132 1024176 1536264 2048352 3072528 6145056