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68520564 = 223271272141
BaseRepresentation
bin1000001010110…
…00101001110100
311202221012112200
410011120221310
5120020124224
610444344500
71461262260
oct405305164
9152835480
1068520564
1135750572
121ab45130
1311271318
1491590a0
1560375c9
hex4158a74

68520564 has 72 divisors (see below), whose sum is σ = 199600128. Its totient is φ = 19414080.

The previous prime is 68520563. The next prime is 68520577. The reversal of 68520564 is 46502586.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68520563) 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 23 ways as a sum of consecutive naturals, for example, 30934 + ... + 33074.

It is an arithmetic number, because the mean of its divisors is an integer number (2772224).

Almost surely, 268520564 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 68520564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99800064).

68520564 is an abundant number, since it is smaller than the sum of its proper divisors (131079564).

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

68520564 is a wasteful number, since it uses less digits than its factorization.

68520564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 68520564 is about 8277.7149020729. The cubic root of 68520564 is about 409.2044139724.

The spelling of 68520564 in words is "sixty-eight million, five hundred twenty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2141 2286 2667 3556 4282 4572 5334 6423 8001 8564 10668 12846 14987 16002 19269 25692 29974 32004 38538 44961 59948 77076 89922 134883 179844 269766 271907 539532 543814 815721 1087628 1631442 1903349 2447163 3262884 3806698 4894326 5710047 7613396 9788652 11420094 17130141 22840188 34260282 68520564