Search a number
-
+
28133460 = 2233553983
BaseRepresentation
bin110101101010…
…0100001010100
31221221022212000
41223110201110
524200232320
62442555300
7461062515
oct153244124
957838760
1028133460
11149760a3
129508b30
135aa0524
143a44a0c
15270ac90
hex1ad4854

28133460 has 96 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 7353216.

The previous prime is 28133459. The next prime is 28133467. The reversal of 28133460 is 6433182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28133467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28129 + ... + 29111.

It is an arithmetic number, because the mean of its divisors is an integer number (929880).

Almost surely, 228133460 is an apocalyptic number.

28133460 is a gapful number since it is divisible by the number (20) 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 28133460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

28133460 is an abundant number, since it is smaller than the sum of its proper divisors (61135020).

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

28133460 is a wasteful number, since it uses less digits than its factorization.

28133460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 28133460 is about 5304.0984153765. The cubic root of 28133460 is about 304.1405888278.

The spelling of 28133460 in words is "twenty-eight million, one hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 983 1060 1431 1590 1908 1966 2385 2862 2949 3180 3932 4770 4915 5724 5898 7155 8847 9540 9830 11796 14310 14745 17694 19660 26541 28620 29490 35388 44235 52099 53082 58980 88470 104198 106164 132705 156297 176940 208396 260495 265410 312594 468891 520990 530820 625188 781485 937782 1041980 1406673 1562970 1875564 2344455 2813346 3125940 4688910 5626692 7033365 9377820 14066730 28133460