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27990240 = 253558313
BaseRepresentation
bin110101011000…
…1100011100000
31221200001101120
41222301203200
524131141430
62435532240
7456625125
oct152614340
957601346
1027990240
1114888533
12945a080
135a50295
143a0874c
1526cd610
hex1ab18e0

27990240 has 48 divisors (see below), whose sum is σ = 88170768. Its totient is φ = 7463936.

The previous prime is 27990199. The next prime is 27990247. The reversal of 27990240 is 4209972.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27990247) 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, 28677 + ... + 29636.

It is an arithmetic number, because the mean of its divisors is an integer number (1836891).

Almost surely, 227990240 is an apocalyptic number.

27990240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27990240 is an abundant number, since it is smaller than the sum of its proper divisors (60180528).

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

27990240 is a wasteful number, since it uses less digits than its factorization.

27990240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58331 (or 58323 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 27990240 is about 5290.5803084350. The cubic root of 27990240 is about 303.6236108154.

The spelling of 27990240 in words is "twenty-seven million, nine hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 58313 116626 174939 233252 291565 349878 466504 583130 699756 874695 933008 1166260 1399512 1749390 1866016 2332520 2799024 3498780 4665040 5598048 6997560 9330080 13995120 27990240