Search a number
-
+
667703560 = 235176116097
BaseRepresentation
bin100111110011000…
…101100100001000
31201112101212002111
4213303011210020
52331413003220
6150131112104
722355246416
oct4763054410
91645355074
10667703560
113129a0627
12167742634
13a8442084
146496c2b6
153d94315a
hex27cc5908

667703560 has 64 divisors (see below), whose sum is σ = 1616883120. Its totient is φ = 247234560.

The previous prime is 667703557. The next prime is 667703563. The reversal of 667703560 is 65307766.

It is an interprime number because it is at equal distance from previous prime (667703557) and next prime (667703563).

It can be written as a sum of positive squares in 8 ways, for example, as 212051844 + 455651716 = 14562^2 + 21346^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (667703563) 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 15 ways as a sum of consecutive naturals, for example, 33432 + ... + 49528.

Almost surely, 2667703560 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 667703560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808441560).

667703560 is an abundant number, since it is smaller than the sum of its proper divisors (949179560).

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

667703560 is a wasteful number, since it uses less digits than its factorization.

667703560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16186 (or 16182 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The square root of 667703560 is about 25839.9605262856. The cubic root of 667703560 is about 874.0331350120.

The spelling of 667703560 in words is "six hundred sixty-seven million, seven hundred three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 8296 10370 16097 20740 32194 41480 64388 80485 128776 160970 273649 321940 547298 643880 981917 1094596 1368245 1963834 2189192 2736490 3927668 4909585 5472980 7855336 9819170 10945960 16692589 19638340 33385178 39276680 66770356 83462945 133540712 166925890 333851780 667703560