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27230560 = 255741593
BaseRepresentation
bin110011111100…
…0000101100000
31220020110022021
41213320011200
523432334220
62411351224
7450312250
oct147700540
956213267
1027230560
11144097a5
129152514
135845576
14388b960
1525cd4aa
hex19f8160

27230560 has 96 divisors (see below), whose sum is σ = 75442752. Its totient is φ = 9093120.

The previous prime is 27230521. The next prime is 27230561. The reversal of 27230560 is 6503272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27230561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45624 + ... + 46216.

It is an arithmetic number, because the mean of its divisors is an integer number (785862).

Almost surely, 227230560 is an apocalyptic number.

27230560 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 27230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37721376).

27230560 is an abundant number, since it is smaller than the sum of its proper divisors (48212192).

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

27230560 is a wasteful number, since it uses less digits than its factorization.

27230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 27230560 is about 5218.2909079506. The cubic root of 27230560 is about 300.8515067601.

The spelling of 27230560 in words is "twenty-seven million, two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 593 656 820 1120 1148 1186 1312 1435 1640 2296 2372 2870 2965 3280 4151 4592 4744 5740 5930 6560 8302 9184 9488 11480 11860 16604 18976 20755 22960 23720 24313 33208 41510 45920 47440 48626 66416 83020 94880 97252 121565 132832 166040 170191 194504 243130 332080 340382 389008 486260 664160 680764 778016 850955 972520 1361528 1701910 1945040 2723056 3403820 3890080 5446112 6807640 13615280 27230560