Search a number
-
+
110506656 = 2531388547
BaseRepresentation
bin1101001011000…
…11001010100000
321200221022122010
412211203022200
5211242203111
614544312520
72511201561
oct645431240
9250838563
10110506656
1157418317
1231012740
1319b81b70
1410968168
159a7caa6
hex69632a0

110506656 has 48 divisors (see below), whose sum is σ = 312397344. Its totient is φ = 34001664.

The previous prime is 110506639. The next prime is 110506663. The reversal of 110506656 is 656605011.

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

It is an unprimeable number.

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, 43026 + ... + 45521.

It is an arithmetic number, because the mean of its divisors is an integer number (6508278).

Almost surely, 2110506656 is an apocalyptic number.

110506656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

110506656 is an abundant number, since it is smaller than the sum of its proper divisors (201890688).

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

110506656 is a wasteful number, since it uses less digits than its factorization.

110506656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88573 (or 88565 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 110506656 is about 10512.2146096814. The cubic root of 110506656 is about 479.8764960029.

The spelling of 110506656 in words is "one hundred ten million, five hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 88547 177094 265641 354188 531282 708376 1062564 1151111 1416752 2125128 2302222 2833504 3453333 4250256 4604444 6906666 8500512 9208888 13813332 18417776 27626664 36835552 55253328 110506656