[go: up one dir, main page]

Search a number
-
+
5273184 = 253721959
BaseRepresentation
bin10100000111011001100000
3100220220110010
4110013121200
52322220214
6305004520
762551500
oct24073140
910826403
105273184
112a81904
121923740
131128237
149b3a00
156e2659
hex507660

5273184 has 144 divisors (see below), whose sum is σ = 17236800. Its totient is φ = 1403136.

The previous prime is 5273173. The next prime is 5273189. The reversal of 5273184 is 4813725.

It is a d-powerful number, because it can be written as 57 + 221 + 77 + 311 + 1 + 87 + 43 .

Its product of digits (6720) is a multiple of the sum of its prime factors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5273189) 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, 89347 + ... + 89405.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 25273184 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 5273184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618400).

5273184 is an abundant number, since it is smaller than the sum of its proper divisors (11963616).

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

5273184 is a wasteful number, since it uses less digits than its factorization.

5273184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 5273184 is about 2296.3414380270. The cubic root of 5273184 is about 174.0567921366.

The spelling of 5273184 in words is "five million, two hundred seventy-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 59 76 84 96 98 112 114 118 133 147 152 168 177 196 224 228 236 266 294 304 336 354 392 399 413 456 472 532 588 608 672 708 784 798 826 912 931 944 1064 1121 1176 1239 1416 1568 1596 1652 1824 1862 1888 2128 2242 2352 2478 2793 2832 2891 3192 3304 3363 3724 4256 4484 4704 4956 5586 5664 5782 6384 6608 6726 7448 7847 8673 8968 9912 11172 11564 12768 13216 13452 14896 15694 17346 17936 19824 22344 23128 23541 26904 29792 31388 34692 35872 39648 44688 46256 47082 53808 54929 62776 69384 89376 92512 94164 107616 109858 125552 138768 164787 188328 219716 251104 277536 329574 376656 439432 659148 753312 878864 1318296 1757728 2636592 5273184