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668761760 = 25531731847
BaseRepresentation
bin100111110111000…
…111111010100000
31201121101121200002
4213313013322200
52332200334020
6150205515132
722400244512
oct4767077240
91647347602
10668761760
11313553677
12167b72aa8
13a8722924
1464b65bb2
153daa1975
hex27dc7ea0

668761760 has 96 divisors (see below), whose sum is σ = 1654152192. Its totient is φ = 255191040.

The previous prime is 668761741. The next prime is 668761787. The reversal of 668761760 is 67167866.

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, 361157 + ... + 363003.

It is an arithmetic number, because the mean of its divisors is an integer number (17230752).

Almost surely, 2668761760 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 668761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827076096).

668761760 is an abundant number, since it is smaller than the sum of its proper divisors (985390432).

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

668761760 is a wasteful number, since it uses less digits than its factorization.

668761760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 668761760 is about 25860.4284573941. The cubic root of 668761760 is about 874.4946240833.

The spelling of 668761760 in words is "six hundred sixty-eight million, seven hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 73 80 124 146 155 160 248 292 310 365 496 584 620 730 992 1168 1240 1460 1847 2263 2336 2480 2920 3694 4526 4960 5840 7388 9052 9235 11315 11680 14776 18104 18470 22630 29552 36208 36940 45260 57257 59104 72416 73880 90520 114514 134831 147760 181040 229028 269662 286285 295520 362080 458056 539324 572570 674155 916112 1078648 1145140 1348310 1832224 2157296 2290280 2696620 4179761 4314592 4580560 5393240 8359522 9161120 10786480 16719044 20898805 21572960 33438088 41797610 66876176 83595220 133752352 167190440 334380880 668761760