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668754630 = 23453126633
BaseRepresentation
bin100111110111000…
…110001011000110
31201121101020220000
4213313012023012
52332200122010
6150205422130
722400214645
oct4767061306
91647336800
10668754630
11313549285
12167b6a946
13a871c5cb
1464b6335c
153da9e7c0
hex27dc62c6

668754630 has 80 divisors (see below), whose sum is σ = 1856283264. Its totient is φ = 172575360.

The previous prime is 668754563. The next prime is 668754631. The reversal of 668754630 is 36457866.

668754630 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 5 + 4 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668754631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11794 + ... + 38426.

Almost surely, 2668754630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668754630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928141632).

668754630 is an abundant number, since it is smaller than the sum of its proper divisors (1187528634).

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

668754630 is a wasteful number, since it uses less digits than its factorization.

668754630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26683 (or 26674 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 668754630 is about 25860.2906016154. The cubic root of 668754630 is about 874.4915162657.

The spelling of 668754630 in words is "six hundred sixty-eight million, seven hundred fifty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1674 2511 2790 4185 5022 8370 12555 25110 26633 53266 79899 133165 159798 239697 266330 399495 479394 719091 798990 825623 1198485 1438182 1651246 2157273 2396970 2476869 3595455 4128115 4314546 4953738 7190910 7430607 8256230 10786365 12384345 14861214 21572730 22291821 24768690 37153035 44583642 66875463 74306070 111459105 133750926 222918210 334377315 668754630