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668363800 = 235213594357
BaseRepresentation
bin100111110101100…
…110110000011000
31201120122101202211
4213311212300120
52332100120200
6150153204504
722363666336
oct4765466030
91646571684
10668363800
11313301685
12167a00734
13a8613750
1464aa0b56
153da23aba
hex27d66c18

668363800 has 96 divisors (see below), whose sum is σ = 1702234800. Its totient is φ = 242542080.

The previous prime is 668363797. The next prime is 668363809. The reversal of 668363800 is 8363866.

668363800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668363809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151222 + ... + 155578.

Almost surely, 2668363800 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 668363800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851117400).

668363800 is an abundant number, since it is smaller than the sum of its proper divisors (1033871000).

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

668363800 is a wasteful number, since it uses less digits than its factorization.

668363800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 668363800 is about 25852.7329309688. The cubic root of 668363800 is about 874.3211278524.

The spelling of 668363800 in words is "six hundred sixty-eight million, three hundred sixty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 59 65 100 104 118 130 200 236 260 295 325 472 520 590 650 767 1180 1300 1475 1534 2360 2600 2950 3068 3835 4357 5900 6136 7670 8714 11800 15340 17428 19175 21785 30680 34856 38350 43570 56641 76700 87140 108925 113282 153400 174280 217850 226564 257063 283205 435700 453128 514126 566410 871400 1028252 1132820 1285315 1416025 2056504 2265640 2570630 2832050 3341819 5141260 5664100 6426575 6683638 10282520 11328200 12853150 13367276 16709095 25706300 26734552 33418190 51412600 66836380 83545475 133672760 167090950 334181900 668363800