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27230976 = 283253223
BaseRepresentation
bin110011111100…
…0001100000000
31220020110212200
41213320030000
523432342401
62411353200
7450313413
oct147701400
956213780
1027230976
111440a043
129152800
135845806
14388bb7a
1525cd686
hex19f8300

27230976 has 108 divisors (see below), whose sum is σ = 80353728. Its totient is φ = 8865792.

The previous prime is 27230969. The next prime is 27230977. The reversal of 27230976 is 67903272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 27230976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27230977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122001 + ... + 122223.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 227230976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176864).

27230976 is an abundant number, since it is smaller than the sum of its proper divisors (53122752).

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

27230976 is a wasteful number, since it uses less digits than its factorization.

27230976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 27230976 is about 5218.3307675923. The cubic root of 27230976 is about 300.8530387838.

The spelling of 27230976 in words is "twenty-seven million, two hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 223 256 288 318 384 424 446 477 576 636 669 768 848 892 954 1152 1272 1338 1696 1784 1908 2007 2304 2544 2676 3392 3568 3816 4014 5088 5352 6784 7136 7632 8028 10176 10704 11819 13568 14272 15264 16056 20352 21408 23638 28544 30528 32112 35457 40704 42816 47276 57088 61056 64224 70914 85632 94552 106371 122112 128448 141828 171264 189104 212742 256896 283656 378208 425484 513792 567312 756416 850968 1134624 1512832 1701936 2269248 3025664 3403872 4538496 6807744 9076992 13615488 27230976