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27990320 = 245973607
BaseRepresentation
bin110101011000…
…1100100110000
31221200001111112
41222301210300
524131142240
62435532452
7456625301
oct152614460
957601445
1027990320
11148885a6
12945a128
135a50327
143a087a8
1526cd665
hex1ab1930

27990320 has 40 divisors (see below), whose sum is σ = 65766624. Its totient is φ = 11077632.

The previous prime is 27990299. The next prime is 27990323. The reversal of 27990320 is 2309972.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (27990323) 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 7 ways as a sum of consecutive naturals, for example, 5957 + ... + 9563.

Almost surely, 227990320 is an apocalyptic number.

27990320 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 27990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32883312).

27990320 is an abundant number, since it is smaller than the sum of its proper divisors (37776304).

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

27990320 is a wasteful number, since it uses less digits than its factorization.

27990320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 27990320 is about 5290.5878690369. The cubic root of 27990320 is about 303.6239000813.

The spelling of 27990320 in words is "twenty-seven million, nine hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3607 3880 7214 7760 14428 18035 28856 36070 57712 72140 144280 288560 349879 699758 1399516 1749395 2799032 3498790 5598064 6997580 13995160 27990320