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560106036 = 223371794139
BaseRepresentation
bin100001011000101…
…000101000110100
31110000221100001000
4201120220220310
52121341343121
6131325003300
716610552130
oct4130505064
91400840030
10560106036
1126818aa56
121376b3530
138c06b3b9
14545603c0
153428c526
hex21628a34

560106036 has 96 divisors (see below), whose sum is σ = 1669248000. Its totient is φ = 159097824.

The previous prime is 560106031. The next prime is 560106061. The reversal of 560106036 is 630601065.

560106036 is a `hidden beast` number, since 56 + 0 + 1 + 0 + 603 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560106031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 133255 + ... + 137393.

It is an arithmetic number, because the mean of its divisors is an integer number (17388000).

Almost surely, 2560106036 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 560106036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834624000).

560106036 is an abundant number, since it is smaller than the sum of its proper divisors (1109141964).

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

560106036 is a wasteful number, since it uses less digits than its factorization.

560106036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 560106036 is about 23666.5594457665. The cubic root of 560106036 is about 824.3090810366.

The spelling of 560106036 in words is "five hundred sixty million, one hundred six thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 179 189 252 358 378 537 716 756 1074 1253 1611 2148 2506 3222 3759 4139 4833 5012 6444 7518 8278 9666 11277 12417 15036 16556 19332 22554 24834 28973 33831 37251 45108 49668 57946 67662 74502 86919 111753 115892 135324 149004 173838 223506 260757 347676 447012 521514 740881 782271 1043028 1481762 1564542 2222643 2963524 3129084 4445286 5186167 6667929 8890572 10372334 13335858 15558501 20003787 20744668 26671716 31117002 40007574 46675503 62234004 80015148 93351006 140026509 186702012 280053018 560106036