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27320480 = 2551119243
BaseRepresentation
bin110100000111…
…0000010100000
31220102000122122
41220032002200
523443223410
62413323412
7451135355
oct150160240
956360578
1027320480
1114470310
129196568
135877485
1438b262c
1525e9e55
hex1a0e0a0

27320480 has 144 divisors (see below), whose sum is σ = 76041504. Its totient is φ = 9192960.

The previous prime is 27320477. The next prime is 27320507. The reversal of 27320480 is 8402372.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635339 + ... + 635381.

It is an arithmetic number, because the mean of its divisors is an integer number (528066).

Almost surely, 227320480 is an apocalyptic number.

27320480 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 27320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38020752).

27320480 is an abundant number, since it is smaller than the sum of its proper divisors (48721024).

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

27320480 is a wasteful number, since it uses less digits than its factorization.

27320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 27320480 is about 5226.8996546710. The cubic root of 27320480 is about 301.1822974181.

The spelling of 27320480 in words is "twenty-seven million, three hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 43 44 55 76 80 86 88 95 110 152 160 172 176 190 209 215 220 304 344 352 361 380 418 430 440 473 608 688 722 760 817 836 860 880 946 1045 1376 1444 1520 1634 1672 1720 1760 1805 1892 2090 2365 2888 3040 3268 3344 3440 3610 3784 3971 4085 4180 4730 5776 6536 6688 6880 7220 7568 7942 8170 8360 8987 9460 11552 13072 14440 15136 15523 15884 16340 16720 17974 18920 19855 26144 28880 31046 31768 32680 33440 35948 37840 39710 44935 57760 62092 63536 65360 71896 75680 77615 79420 89870 124184 127072 130720 143792 155230 158840 170753 179740 248368 287584 310460 317680 341506 359480 496736 620920 635360 683012 718960 853765 1241840 1366024 1437920 1707530 2483680 2732048 3415060 5464096 6830120 13660240 27320480