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27220672 = 2617127197
BaseRepresentation
bin110011111010…
…1101011000000
31220012221202001
41213311223000
523432030142
62411233344
7450241363
oct147655300
956187661
1027220672
1114402326
129148854
135840c0b
1438880da
1525ca5b7
hex19f5ac0

27220672 has 56 divisors (see below), whose sum is σ = 57936384. Its totient is φ = 12644352.

The previous prime is 27220663. The next prime is 27220703. The reversal of 27220672 is 27602272.

It is a self number, because there is not a number n which added to its sum of digits gives 27220672.

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 7 ways as a sum of consecutive naturals, for example, 138078 + ... + 138274.

Almost surely, 227220672 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 27220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28968192).

27220672 is an abundant number, since it is smaller than the sum of its proper divisors (30715712).

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

27220672 is a wasteful number, since it uses less digits than its factorization.

27220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 27220672 is about 5217.3433852872. The cubic root of 27220672 is about 300.8150871413.

The spelling of 27220672 in words is "twenty-seven million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 136 197 254 272 394 508 544 788 1016 1088 1576 2032 2159 3152 3349 4064 4318 6304 6698 8128 8636 12608 13396 17272 25019 26792 34544 50038 53584 69088 100076 107168 138176 200152 214336 400304 425323 800608 850646 1601216 1701292 3402584 6805168 13610336 27220672