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27666930 = 23523101397
BaseRepresentation
bin110100110001…
…0100111110010
31221001121220010
41221202213302
524040320210
62424555350
7454110414
oct151424762
957047803
1027666930
1114687635
129322b56
135969085
1439629b4
152667920
hex1a629f2

27666930 has 64 divisors (see below), whose sum is σ = 70149888. Its totient is φ = 6969600.

The previous prime is 27666889. The next prime is 27666943. The reversal of 27666930 is 3966672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69492 + ... + 69888.

It is an arithmetic number, because the mean of its divisors is an integer number (1096092).

Almost surely, 227666930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27666930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35074944).

27666930 is an abundant number, since it is smaller than the sum of its proper divisors (42482958).

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

27666930 is a wasteful number, since it uses less digits than its factorization.

27666930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 27666930 is about 5259.9363114015. The cubic root of 27666930 is about 302.4500475311.

The spelling of 27666930 in words is "twenty-seven million, six hundred sixty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 101 115 138 202 230 303 345 397 505 606 690 794 1010 1191 1515 1985 2323 2382 3030 3970 4646 5955 6969 9131 11615 11910 13938 18262 23230 27393 34845 40097 45655 54786 69690 80194 91310 120291 136965 200485 240582 273930 400970 601455 922231 1202910 1844462 2766693 4611155 5533386 9222310 13833465 27666930