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668720610 = 23453753421
BaseRepresentation
bin100111110110111…
…101110111100010
31201121022112020000
4213312331313202
52332143024420
6150205000430
722400013525
oct4766756742
91647275200
10668720610
11313525768
12167b53116
13a8709c8c
1464b54bbc
153da94690
hex27dbdde2

668720610 has 160 divisors (see below), whose sum is σ = 1886026032. Its totient is φ = 169827840.

The previous prime is 668720603. The next prime is 668720621. The reversal of 668720610 is 16027866.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 276324129 + 392396481 = 16623^2 + 19809^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1588200 + ... + 1588620.

Almost surely, 2668720610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668720610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943013016).

668720610 is an abundant number, since it is smaller than the sum of its proper divisors (1217305422).

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

668720610 is a wasteful number, since it uses less digits than its factorization.

668720610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 668720610 is about 25859.6328280198. The cubic root of 668720610 is about 874.4766873561.

The spelling of 668720610 in words is "six hundred sixty-eight million, seven hundred twenty thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 53 54 74 81 90 106 111 135 159 162 185 222 265 270 318 333 370 405 421 477 530 555 666 795 810 842 954 999 1110 1263 1431 1590 1665 1961 1998 2105 2385 2526 2862 2997 3330 3789 3922 4210 4293 4770 4995 5883 5994 6315 7155 7578 8586 9805 9990 11367 11766 12630 14310 14985 15577 17649 18945 19610 21465 22313 22734 29415 29970 31154 34101 35298 37890 42930 44626 46731 52947 56835 58830 66939 68202 77885 88245 93462 105894 111565 113670 133878 140193 155770 158841 170505 176490 200817 223130 233655 264735 280386 317682 334695 341010 401634 420579 467310 529470 602451 669390 700965 794205 825581 841158 1004085 1204902 1261737 1401930 1588410 1651162 1807353 2008170 2102895 2476743 2523474 3012255 3614706 4127905 4205790 4953486 6024510 6308685 7430229 8255810 9036765 12383715 12617370 14860458 18073530 22290687 24767430 37151145 44581374 66872061 74302290 111453435 133744122 222906870 334360305 668720610