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27012780 = 223253147103
BaseRepresentation
bin110011100001…
…0111010101100
31212211101120100
41213002322230
523403402110
62402551100
7445414314
oct147027254
955741510
1027012780
1114280113
129068490
13579a3c2
143832444
152588bc0
hex19c2eac

27012780 has 144 divisors (see below), whose sum is σ = 87220224. Its totient is φ = 6756480.

The previous prime is 27012767. The next prime is 27012841. The reversal of 27012780 is 8721072.

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, 262209 + ... + 262311.

It is an arithmetic number, because the mean of its divisors is an integer number (605696).

Almost surely, 227012780 is an apocalyptic number.

27012780 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 27012780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43610112).

27012780 is an abundant number, since it is smaller than the sum of its proper divisors (60207444).

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

27012780 is a wasteful number, since it uses less digits than its factorization.

27012780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 27012780 is about 5197.3820332933. The cubic root of 27012780 is about 300.0473258671.

The spelling of 27012780 in words is "twenty-seven million, twelve thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 103 124 141 155 180 186 188 206 235 279 282 309 310 372 412 423 465 470 515 558 564 618 620 705 846 927 930 940 1030 1116 1236 1395 1410 1457 1545 1692 1854 1860 2060 2115 2790 2820 2914 3090 3193 3708 4230 4371 4635 4841 5580 5828 6180 6386 7285 8460 8742 9270 9579 9682 12772 13113 14523 14570 15965 17484 18540 19158 19364 21855 24205 26226 28737 29046 29140 31930 38316 43569 43710 47895 48410 52452 57474 58092 63860 65565 72615 87138 87420 95790 96820 114948 131130 143685 145230 150071 174276 191580 217845 262260 287370 290460 300142 435690 450213 574740 600284 750355 871380 900426 1350639 1500710 1800852 2251065 2701278 3001420 4502130 5402556 6753195 9004260 13506390 27012780