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28134180 = 223251491049
BaseRepresentation
bin110101101010…
…0101100100100
31221221100211200
41223110230210
524200243210
62443002500
7461064564
oct153245444
957840750
1028134180
1114976698
129509430
135aa0959
143a44da4
15270b0c0
hex1ad4b24

28134180 has 72 divisors (see below), whose sum is σ = 85995000. Its totient is φ = 7444992.

The previous prime is 28134179. The next prime is 28134181. The reversal of 28134180 is 8143182.

It is an interprime number because it is at equal distance from previous prime (28134179) and next prime (28134181).

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 24980004 = 1776^2 + 4998^2 .

It is not an unprimeable number, because it can be changed into a prime (28134181) 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, 26296 + ... + 27344.

It is an arithmetic number, because the mean of its divisors is an integer number (1194375).

Almost surely, 228134180 is an apocalyptic number.

28134180 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 28134180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42997500).

28134180 is an abundant number, since it is smaller than the sum of its proper divisors (57860820).

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

28134180 is a wasteful number, since it uses less digits than its factorization.

28134180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28134180 is about 5304.1662869861. The cubic root of 28134180 is about 304.1431833583.

The spelling of 28134180 in words is "twenty-eight million, one hundred thirty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1049 1341 1490 1788 2098 2235 2682 2980 3147 4196 4470 5245 5364 6294 6705 8940 9441 10490 12588 13410 15735 18882 20980 26820 31470 37764 47205 62940 94410 156301 188820 312602 468903 625204 781505 937806 1406709 1563010 1875612 2344515 2813418 3126020 4689030 5626836 7033545 9378060 14067090 28134180