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564060112 = 247113531297
BaseRepresentation
bin100001100111101…
…101111111010000
31110022101020000021
4201213231333100
52123344410422
6131545433224
716656301060
oct4147557720
91408336007
10564060112
1126a440790
12138a9b814
138cb240a5
1454cad3a0
15347bddc7
hex219edfd0

564060112 has 80 divisors (see below), whose sum is σ = 1367448192. Its totient is φ = 218972160.

The previous prime is 564060109. The next prime is 564060131. The reversal of 564060112 is 211060465.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434248 + ... + 435544.

Almost surely, 2564060112 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 564060112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683724096).

564060112 is an abundant number, since it is smaller than the sum of its proper divisors (803388080).

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

564060112 is a wasteful number, since it uses less digits than its factorization.

564060112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 564060112 is about 23749.9497262626. The cubic root of 564060112 is about 826.2442746156.

The spelling of 564060112 in words is "five hundred sixty-four million, sixty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 353 616 706 1232 1297 1412 2471 2594 2824 3883 4942 5188 5648 7766 9079 9884 10376 14267 15532 18158 19768 20752 27181 28534 31064 36316 39536 54362 57068 62128 72632 99869 108724 114136 145264 199738 217448 228272 399476 434896 457841 798952 915682 1597904 1831364 3204887 3662728 5036251 6409774 7325456 10072502 12819548 20145004 25639096 35253757 40290008 51278192 70507514 80580016 141015028 282030056 564060112