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28161540 = 22335112431
BaseRepresentation
bin110101101101…
…1011000000100
31221222202101000
41223123120010
524202132130
62443333300
7461240421
oct153333004
957882330
1028161540
1114995200
129521230
135ab0244
143a50d48
152714260
hex1adb604

28161540 has 144 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 6811200.

The previous prime is 28161509. The next prime is 28161541. The reversal of 28161540 is 4516182.

28161540 is a `hidden beast` number, since 2 + 8 + 1 + 615 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28161541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65125 + ... + 65555.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 228161540 is an apocalyptic number.

28161540 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 28161540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

28161540 is an abundant number, since it is smaller than the sum of its proper divisors (68364540).

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

28161540 is a wasteful number, since it uses less digits than its factorization.

28161540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 28161540 is about 5306.7447649195. The cubic root of 28161540 is about 304.2417427322.

It can be divided in two parts, 2816 and 1540, that added together give a square (4356 = 662).

The spelling of 28161540 in words is "twenty-eight million, one hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 431 484 495 540 594 605 660 726 862 990 1089 1188 1210 1293 1452 1485 1724 1815 1980 2155 2178 2420 2586 2970 3267 3630 3879 4310 4356 4741 5172 5445 5940 6465 6534 7260 7758 8620 9482 10890 11637 12930 13068 14223 15516 16335 18964 19395 21780 23274 23705 25860 28446 32670 38790 42669 46548 47410 52151 56892 58185 65340 71115 77580 85338 94820 104302 116370 128007 142230 156453 170676 208604 213345 232740 256014 260755 284460 312906 426690 469359 512028 521510 625812 640035 782265 853380 938718 1043020 1280070 1408077 1564530 1877436 2346795 2560140 2816154 3129060 4693590 5632308 7040385 9387180 14080770 28161540