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27052740 = 2232511131051
BaseRepresentation
bin110011100110…
…0101011000100
31212220102101100
41213030223010
523411141430
62403500100
7445641651
oct147145304
955812340
1027052740
11142a8140
129087630
1357b2650
143842c28
152595960
hex19ccac4

27052740 has 144 divisors (see below), whose sum is σ = 96497856. Its totient is φ = 6048000.

The previous prime is 27052733. The next prime is 27052741. The reversal of 27052740 is 4725072.

It is not an unprimeable number, because it can be changed into a prime (27052741) 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, 25215 + ... + 26265.

It is an arithmetic number, because the mean of its divisors is an integer number (670124).

Almost surely, 227052740 is an apocalyptic number.

27052740 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 27052740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48248928).

27052740 is an abundant number, since it is smaller than the sum of its proper divisors (69445116).

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

27052740 is a wasteful number, since it uses less digits than its factorization.

27052740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 27052740 is about 5201.2248557431. The cubic root of 27052740 is about 300.1952062875.

It can be divided in two parts, 2705 and 2740, that added together give a palindrome (5445).

The spelling of 27052740 in words is "twenty-seven million, fifty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1051 1170 1287 1430 1716 1980 2102 2145 2340 2574 2860 3153 4204 4290 5148 5255 6306 6435 8580 9459 10510 11561 12612 12870 13663 15765 18918 21020 23122 25740 27326 31530 34683 37836 40989 46244 47295 54652 57805 63060 68315 69366 81978 94590 104049 115610 122967 136630 138732 150293 163956 173415 189180 204945 208098 231220 245934 273260 300586 346830 409890 416196 450879 491868 520245 601172 614835 693660 751465 819780 901758 1040490 1229670 1352637 1502930 1803516 2080980 2254395 2459340 2705274 3005860 4508790 5410548 6763185 9017580 13526370 27052740