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27243540 = 2234567251
BaseRepresentation
bin110011111101…
…1010000010100
31220021010010000
41213323100110
523433243130
62411531300
7450365142
oct147732024
956233100
1027243540
1114418525
129159b30
13584b44c
143892592
1525d2260
hex19fb414

27243540 has 120 divisors (see below), whose sum is σ = 87085152. Its totient is φ = 7128000.

The previous prime is 27243533. The next prime is 27243551. The reversal of 27243540 is 4534272.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108415 + ... + 108665.

Almost surely, 227243540 is an apocalyptic number.

27243540 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 27243540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43542576).

27243540 is an abundant number, since it is smaller than the sum of its proper divisors (59841612).

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

27243540 is a wasteful number, since it uses less digits than its factorization.

27243540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 27243540 is about 5219.5344619995. The cubic root of 27243540 is about 300.8993014957.

The spelling of 27243540 in words is "twenty-seven million, two hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 251 268 270 324 335 402 405 502 540 603 670 753 804 810 1004 1005 1206 1255 1340 1506 1620 1809 2010 2259 2412 2510 3012 3015 3618 3765 4020 4518 5020 5427 6030 6777 7236 7530 9036 9045 10854 11295 12060 13554 15060 16817 18090 20331 21708 22590 27108 27135 33634 33885 36180 40662 45180 50451 54270 67268 67770 81324 84085 100902 101655 108540 135540 151353 168170 201804 203310 252255 302706 336340 406620 454059 504510 605412 756765 908118 1009020 1362177 1513530 1816236 2270295 2724354 3027060 4540590 5448708 6810885 9081180 13621770 27243540