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27412060 = 225131931179
BaseRepresentation
bin110100010010…
…0011001011100
31220120200021111
41220210121130
524004141220
62415311404
7451666354
oct150443134
956520244
1027412060
11145230a5
12921b564
1358aa070
1438d7b64
15261715a
hex1a2465c

27412060 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 9227520.

The previous prime is 27412019. The next prime is 27412081. The reversal of 27412060 is 6021472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153051 + ... + 153229.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 227412060 is an apocalyptic number.

27412060 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 27412060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

27412060 is an abundant number, since it is smaller than the sum of its proper divisors (40325540).

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

27412060 is a wasteful number, since it uses less digits than its factorization.

27412060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 27412060 is about 5235.6527768751. The cubic root of 27412060 is about 301.5184495511.

The spelling of 27412060 in words is "twenty-seven million, four hundred twelve thousand, sixty".

Divisors: 1 2 4 5 10 13 19 20 26 31 38 52 62 65 76 95 124 130 155 179 190 247 260 310 358 380 403 494 589 620 716 806 895 988 1178 1235 1612 1790 2015 2327 2356 2470 2945 3401 3580 4030 4654 4940 5549 5890 6802 7657 8060 9308 11098 11635 11780 13604 15314 17005 22196 23270 27745 30628 34010 38285 44213 46540 55490 68020 72137 76570 88426 105431 110980 144274 153140 176852 210862 221065 288548 360685 421724 442130 527155 721370 884260 1054310 1370603 1442740 2108620 2741206 5482412 6853015 13706030 27412060