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27030960 = 24325113413
BaseRepresentation
bin110011100011…
…1010110110000
31212212022111200
41213013112300
523404442320
62403211200
7445521315
oct147072660
955768450
1027030960
1114292840
129076b00
1357a5768
143838d0c
15258e290
hex19c75b0

27030960 has 120 divisors (see below), whose sum is σ = 99060624. Its totient is φ = 6551040.

The previous prime is 27030959. The next prime is 27030967. The reversal of 27030960 is 6903072.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (27030967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6214 + ... + 9626.

Almost surely, 227030960 is an apocalyptic number.

27030960 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 27030960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49530312).

27030960 is an abundant number, since it is smaller than the sum of its proper divisors (72029664).

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

27030960 is a wasteful number, since it uses less digits than its factorization.

27030960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 27030960 is about 5199.1306965684. The cubic root of 27030960 is about 300.1146228664.

The spelling of 27030960 in words is "twenty-seven million, thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3413 3960 6826 7920 10239 13652 17065 20478 27304 30717 34130 37543 40956 51195 54608 61434 68260 75086 81912 102390 112629 122868 136520 150172 153585 163824 187715 204780 225258 245736 273040 300344 307170 337887 375430 409560 450516 491472 563145 600688 614340 675774 750860 819120 901032 1126290 1228680 1351548 1501720 1689435 1802064 2252580 2457360 2703096 3003440 3378870 4505160 5406192 6757740 9010320 13515480 27030960