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27042540 = 2235731267
BaseRepresentation
bin110011100101…
…0001011101100
31212212220101120
41213022023230
523410330130
62403340540
7445600140
oct147121354
955786346
1027042540
11142a0508
129081750
1357aab05
14383d220
152592910
hex19ca2ec

27042540 has 144 divisors (see below), whose sum is σ = 90752256. Its totient is φ = 5892480.

The previous prime is 27042539. The next prime is 27042557. The reversal of 27042540 is 4524072.

It is a self number, because there is not a number n which added to its sum of digits gives 27042540.

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 47 ways as a sum of consecutive naturals, for example, 403587 + ... + 403653.

It is an arithmetic number, because the mean of its divisors is an integer number (630224).

Almost surely, 227042540 is an apocalyptic number.

27042540 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 27042540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45376128).

27042540 is an abundant number, since it is smaller than the sum of its proper divisors (63709716).

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

27042540 is a wasteful number, since it uses less digits than its factorization.

27042540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 27042540 is about 5200.2442250341. The cubic root of 27042540 is about 300.1574728821.

The spelling of 27042540 in words is "twenty-seven million, forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 67 70 84 93 105 124 134 140 155 186 201 210 217 268 310 335 372 402 420 434 465 469 620 651 670 804 868 930 938 961 1005 1085 1302 1340 1407 1860 1876 1922 2010 2077 2170 2345 2604 2814 2883 3255 3844 4020 4154 4340 4690 4805 5628 5766 6231 6510 6727 7035 8308 9380 9610 10385 11532 12462 13020 13454 14070 14415 14539 19220 20181 20770 24924 26908 28140 28830 29078 31155 33635 40362 41540 43617 57660 58156 62310 64387 67270 72695 80724 87234 100905 124620 128774 134540 145390 174468 193161 201810 218085 257548 290780 321935 386322 403620 436170 450709 643870 772644 872340 901418 965805 1287740 1352127 1802836 1931610 2253545 2704254 3863220 4507090 5408508 6760635 9014180 13521270 27042540