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5795064 = 233511271
BaseRepresentation
bin10110000110110011111000
3101220102100000
4112012303320
52440420224
6324113000
7100154142
oct26066370
911812300
105795064
1132a8a10
121b35760
13127b942
14aabc92
157970c9
hex586cf8

5795064 has 96 divisors (see below), whose sum is σ = 17821440. Its totient is φ = 1749600.

The previous prime is 5795059. The next prime is 5795081. The reversal of 5795064 is 4605975.

5795064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21249 + ... + 21519.

It is an arithmetic number, because the mean of its divisors is an integer number (185640).

Almost surely, 25795064 is an apocalyptic number.

5795064 is a gapful number since it is divisible by the number (54) 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 5795064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910720).

5795064 is an abundant number, since it is smaller than the sum of its proper divisors (12026376).

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

5795064 is a wasteful number, since it uses less digits than its factorization.

5795064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5795064 is about 2407.2939164132. The cubic root of 5795064 is about 179.6191949432.

The spelling of 5795064 in words is "five million, seven hundred ninety-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 271 297 324 396 486 542 594 648 792 813 891 972 1084 1188 1626 1782 1944 2168 2376 2439 2673 2981 3252 3564 4878 5346 5962 6504 7128 7317 8943 9756 10692 11924 14634 17886 19512 21384 21951 23848 26829 29268 35772 43902 53658 58536 65853 71544 80487 87804 107316 131706 160974 175608 214632 241461 263412 321948 482922 526824 643896 724383 965844 1448766 1931688 2897532 5795064