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120116564 = 2261492281
BaseRepresentation
bin1110010100011…
…01010101010100
322101000112221122
413022031111110
5221222212224
615530303112
72655655031
oct712152524
9271015848
10120116564
1161891397
1234287a98
131bb67cb9
1411d4a388
15a82a15e
hex728d554

120116564 has 12 divisors (see below), whose sum is σ = 213650388. Its totient is φ = 59073600.

The previous prime is 120116561. The next prime is 120116617. The reversal of 120116564 is 465611021.

It can be written as a sum of positive squares in 2 ways, for example, as 6864400 + 113252164 = 2620^2 + 10642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120116561) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 245897 + ... + 246384.

It is an arithmetic number, because the mean of its divisors is an integer number (17804199).

Almost surely, 2120116564 is an apocalyptic number.

It is an amenable number.

120116564 is a deficient number, since it is larger than the sum of its proper divisors (93533824).

120116564 is a wasteful number, since it uses less digits than its factorization.

120116564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492346 (or 492344 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 120116564 is about 10959.7702530664. The cubic root of 120116564 is about 493.4020695963.

Adding to 120116564 its reverse (465611021), we get a palindrome (585727585).

The spelling of 120116564 in words is "one hundred twenty million, one hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 4 61 122 244 492281 984562 1969124 30029141 60058282 120116564