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5945328 = 2432194153
BaseRepresentation
bin10110101011011111110000
3102012001110100
4112223133300
53010222303
6331232400
7101351214
oct26533760
912161410
105945328
1133a08a4
121ba8700
13130215c
14b0a944
157c68a3
hex5ab7f0

5945328 has 120 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 1797120.

The previous prime is 5945321. The next prime is 5945333. The reversal of 5945328 is 8235495.

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

It is a junction number, because it is equal to n+sod(n) for n = 5945292 and 5945301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5945321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112150 + ... + 112202.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 25945328 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 5945328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

5945328 is an abundant number, since it is smaller than the sum of its proper divisors (12334752).

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

5945328 is a wasteful number, since it uses less digits than its factorization.

5945328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5945328 is about 2438.3043288318. The cubic root of 5945328 is about 181.1584542852.

The spelling of 5945328 in words is "five million, nine hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 53 57 72 76 82 106 114 123 144 152 159 164 171 212 228 246 304 318 328 342 369 424 456 477 492 636 656 684 738 779 848 912 954 984 1007 1272 1368 1476 1558 1908 1968 2014 2173 2337 2544 2736 2952 3021 3116 3816 4028 4346 4674 5904 6042 6232 6519 7011 7632 8056 8692 9063 9348 12084 12464 13038 14022 16112 17384 18126 18696 19557 24168 26076 28044 34768 36252 37392 39114 41287 48336 52152 56088 72504 78228 82574 104304 112176 123861 145008 156456 165148 247722 312912 330296 371583 495444 660592 743166 990888 1486332 1981776 2972664 5945328