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27984330 = 232511231229
BaseRepresentation
bin110101011000…
…0000111001010
31221122202021200
41222300013022
524130444310
62435445030
7456601653
oct152600712
957582250
1027984330
1114884050
129456776
135a4a69a
143a0652a
1526cb9c0
hex1ab01ca

27984330 has 96 divisors (see below), whose sum is σ = 82892160. Its totient is φ = 6483840.

The previous prime is 27984301. The next prime is 27984343. The reversal of 27984330 is 3348972.

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 47 ways as a sum of consecutive naturals, for example, 22156 + ... + 23384.

It is an arithmetic number, because the mean of its divisors is an integer number (863460).

Almost surely, 227984330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27984330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41446080).

27984330 is an abundant number, since it is smaller than the sum of its proper divisors (54907830).

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

27984330 is a wasteful number, since it uses less digits than its factorization.

27984330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 27984330 is about 5290.0217390858. The cubic root of 27984330 is about 303.6022397727.

The spelling of 27984330 in words is "twenty-seven million, nine hundred eighty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1229 1265 1518 2070 2277 2458 2530 3687 3795 4554 6145 7374 7590 11061 11385 12290 13519 18435 22122 22770 27038 28267 36870 40557 55305 56534 67595 81114 84801 110610 121671 135190 141335 169602 202785 243342 254403 282670 310937 405570 424005 508806 608355 621874 848010 932811 1216710 1272015 1554685 1865622 2544030 2798433 3109370 4664055 5596866 9328110 13992165 27984330