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28134540 = 223557827
BaseRepresentation
bin110101101010…
…0110010001100
31221221101100000
41223110302030
524200301130
62443004300
7461065620
oct153246214
957841300
1028134540
1114976995
129509690
135aa0b75
143a45180
15270b260
hex1ad4c8c

28134540 has 144 divisors (see below), whose sum is σ = 101267712. Its totient is φ = 6422976.

The previous prime is 28134539. The next prime is 28134551. The reversal of 28134540 is 4543182.

28134540 is a `hidden beast` number, since 281 + 345 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33607 + ... + 34433.

It is an arithmetic number, because the mean of its divisors is an integer number (703248).

Almost surely, 228134540 is an apocalyptic number.

28134540 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 28134540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633856).

28134540 is an abundant number, since it is smaller than the sum of its proper divisors (73133172).

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

28134540 is a wasteful number, since it uses less digits than its factorization.

28134540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28134540 is about 5304.2002224652. The cubic root of 28134540 is about 304.1444806069.

The spelling of 28134540 in words is "twenty-eight million, one hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 827 945 972 1134 1215 1260 1620 1654 1701 1890 2268 2430 2481 2835 3308 3402 3780 4135 4860 4962 5670 5789 6804 7443 8270 8505 9924 11340 11578 12405 14886 16540 17010 17367 22329 23156 24810 28945 29772 34020 34734 37215 44658 49620 52101 57890 66987 69468 74430 86835 89316 104202 111645 115780 133974 148860 156303 173670 200961 208404 223290 260505 267948 312606 334935 347340 401922 446580 468909 521010 625212 669870 781515 803844 937818 1004805 1042020 1339740 1406727 1563030 1875636 2009610 2344545 2813454 3126060 4019220 4689090 5626908 7033635 9378180 14067270 28134540